Conferències i seminaris | Congressos | Grups de recerca | Publicacions | Persones Persones
Sergey Yurievich Tikhonov (Rússia)
Publicacions
A concept of general monotonicity and applications, 2010
LIFLYAND, E. & TIKHONOV, S. `A concept of general monotonicity and applications´. Submitted to *Math. Nachr.* (2010)
A concept of general monotonicity and applications, 2011
LIFLYAND, E. & TIKHONOV, S. `A concept of general monotonicity and applications´. *Math. Nachr.*; 284, 1083–1098 (2011)
A Hardy–Littlewood theorem for multiple series, 2008
DYACHENKO, M. & TIKHONOV, S. `A Hardy–Littlewood theorem for multiple series´. *J. Math. Anal. Appl.*; 339 (2008), 503–510
A sharp Remez inequality for trigonometric polynomials, 2011
NURSULTANOV, E. & TIKHONOV, S. *A sharp Remez inequality for trigonometric polynomials*. Publicacions del CRM, núm. 1045 (2011)
Addendum to: Trigonometric series of Nikol´skii classes, 2008
TIKHONOV, S. `Addendum to: Trigonometric series of Nikol´skii classes´. *Acta Math. Hungarica*; 120 (2008), no. 1–2, 9–20
An inequality of Ul´yanov, 2008
POTANOV, M.K.; SIMONOV, B.V. & TIKHONOV, S. `An inequality of Ul´yanov´. *Moscow Univ. Math. Bull.*; 63 (2008), no. 3, 115–118 [Rus: *Vestnik Mosk. Univ. Ser. I*; 63 (2008), no. 3, 33–36]
Best approximation and moduli of smoothness: computation and equivalence theorems, 2008
TIKHONOV, S. `Best approximation and moduli of smoothness: computation and equivalence theorems´. *J. Approx. Theory*; 153 (2008), 19–39
Convolution inequalities in Lorentz spaces, 2010
NURSULTANOV, E. & TIKHONOV, S. `Convolution inequalities in Lorentz spaces´. *J. Fourier Anal. Appl.*; Online
Convolution Inequalities in Lorentz Spaces, 2011
NURSULTANOV, E. & TIKHONOV, S. `Convolution Inequalities in Lorentz Spaces´. *J. Fourier Anal. Appl.*; 17, 486–505 (2011)
Convolution inequalities in Lorentz spaces, 2011
LIFLYAND, E.; TIKHONOV, S. & ZELTSER, M. `Convolution inequalities in Lorentz spaces´. *Jour. Math. Anal. Appl.*; 377, 194–206 (2011)
Convolution inequalities in Lorenz spaces, 2008
NURSULTANOV, E. & TIKHONOV, S. *Convolution inequalities in Lorenz spaces*. Publicacions del CRM, núm. 801 (2008)
Embedding theorems in constructive approximation, 2008
SIMONOV, B.V. & TIKHONOV, S. `Embedding theorems in constructive approximation´. *Sbornik: Mathematics*; 199 (2008), no. 9, 1365–1405
Embedding theorems of function classes I, 2005
SIMONOV, B. & TIKHONOV, S. *Embedding theorems of function classes I*. Publicacions del CRM, núm. 631 (2005)
Embedding theorems of function classes II, 2005
TIKHONOV, S. *Embedding theorems of function classes II*. Publicacions del CRM, núm. 636 (2005)
Embedding theorems of function classes III, 2005
SIMONOV, B. & TIKHONOV, S. *Embedding theorems of function classes III*. Publicacions del CRM, núm. 649 (2005)
Embedding theorems of function classes IV, 2005
TIKHONOV, S. *Embedding theorems of function classes IV*. Publicacions del CRM, núm. 658 (2005)
Extended solution of Boas’ conjecture on Fourier transforms, 2008
LIFLYARD, E. & TIKHONOV, S. `Extended solution of Boas’ conjecture on Fourier transforms´. *C. R. Math. Acad. Sci. Paris*; 346 (2008), no. 21–22, 1137–1142
General monotone sequences and convergence of trigonometric series, 2008
DYACHENKO, M. & TIKHONOV, S. `General monotone sequences and convergence of trigonometric series´. In: *Topics in Classical Analysis and Applications in Honor of Daniel Waterman*, World Scientific, 88–101 (2008)
Integrability and continuity of functions represented by trigonometric series: coefficients criteria, 2009
DYACHENKO, M. & TIKHONOV, S. `Integrability and continuity of functions represented by trigonometric series: coefficients criteria´. *Studia Math.*; 193, no. 3, 285–306 (2009)
Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates, 2011
GORBACHEV, D. & TIKHONOV, S. *Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates*. Publicacions del CRM, núm. 1092 (2011)
Net spaces and boundedness of integral operators, 2011
NURSULTANOV, E. & TIKHONOV, S. `Net spaces and boundedness of integral operators´. *J. of Geometric Analysis*; 21, 950–981 (2011)
Net spaces and boundedness of integral operators, 2010
NURSULTANOV, E. & TIKHONOV, S. `Net spaces and boundedness of integral operators´. *J. of Geometric Analysis*; Online
Net spaces and boundedness of integral operators, 2008
NURSULTANOV, E. & TIKHONOV, S. *Net spaces and boundedness of integral operators*. Publicacions del CRM, núm. 800 (2008)
Norm convolution inequalities in Lebesgue spaces, 2009
NURSULTANOV, E.; TIKHONOV, S. & TLEUKHANOVA, N. *Norm convolution inequalities in Lebesgue spaces*. Publicacions del CRM, núm. 877 (2009)
Norm inequalities for convolution operators, 2009
NURSULTANOV, E.; TIKHONOV, S. & TLEUKHANOVA, N. `Norm inequalities for convolution operators´. *C. R. Acad. Sci. Paris, Ser. I*; 347, 1385–1388 (2009)
Norm inequalities in multidimensional Lorentz, 2008
SIMONOV, B.V. & TIKHONOV, S. `Norm inequalities in multidimensional Lorentz spaces´. *Mathematica Scandinavica*; 103 (2008), 278–294
Norm inequalities in multidimensional spaces, 2007
SIMONOV, B. & TIKHONOV, S. *Norm inequalities in multidimensional spaces*. Publicacions del CRM, núm. 750 (2007)
On Boas-type problem, 2005
TIKHONOV, S. *On Boas-type problem*. Publicacions del CRM, núm. 617 (2005)
On L¹-convergence of Fourier series, 2008
TIKHONOV, S. `On L¹-convergence of Fourier series´. *J. Math. Anal. Appl.*; 347 (2008), no. 2, 416–427
On moduli of smoothness of fractional order, 2005
TIKHONOV, S. *On moduli of smoothness of fractional order*. Publicacions del CRM, núm. 615 (2005)
Relations between moduli of smoothness in different metrics, 2009
POTANOV, M.K.; SIMONOV, B.V. & TIKHONOV, S. `Relations between moduli of smoothness in different metrics´. *Moscow Univ. Math. Bull.*; 64 (2009), no. 3, 105–112 [Rus: *Vestnik Mosk. Univ. Ser. I*; 64 (2009), no. 3, 17–25]
Relations between the mixed moduli of smoothness and embedding theorems for Nikolskii classes, 2010
POTANOV, M.K.; SIMONOV, B.V. & TIKHONOV, S. `Relations between the mixed moduli of smoothness and embedding theorems for Nikolskii classes´. *Proceedings of the Steklov Institute of Mathematics*; Vol. 269, 197–207, 2010 [Rus: *Trudy Matem. Inst. V. A. Steklova*; Vol. 269, 204–214, 2010]
Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients, 2009
POTAPOV, M.K.; SIMONOV, B.V. & TIKHONOV, S. `Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients´. *J. Jour. Approx.*; 1, no. 2, 205–222 (2009)
Sharp Jackson inequality, 2008
DAI, F.; DITZIAN, Z. & TIKHONOV, S. `Sharp Jackson inequality´. *J. Approx. Theory*; 151 (2008), no. 1, 186–112
Sharp Ul’yanov-type inequalities using fractional smoothness, 2010
SIMONOV, B.V. & TIKHONOV, S. `Sharp Ul’yanov-type inequalities using fractional smoothness´. *Journal of Approx. Theory*; Vol. 162, Is. 9 (2010), 1654–1684
The Fourier transforms of general monotone functions, 2009
LIFLYAND, E. & TIKHONOV, S. `The Fourier transforms of general monotone functions´. In: *Analysis and Mathematical Physics, Trends in Mathematics*; Birkhäuser, Basel (2009), 377–396
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions, 2011
STEPANOV, V. & TIKHONOV, S. `Two power-weight inequalities for the Hilbert transform on the cones of monotone functions´. *Complex Variables and Elliptic Equations*; 56, 1039–1047 (2011)
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions, 2010
STEPANOV, V. & TIKHONOV, S. `Two power-weight inequalities for the Hilbert transform on the cones of monotone functions´. Submitted to *Complex Variables and Elliptic Equations* (2010)
Two-sided weighted Fourier inequalities, 2010
LIFLYAND, E. & TIKHONOV, S. `Two-sided weighted Fourier inequalities´. Submitted to *Annali della Scuola Normale Superiore. Classe di Scienze* (2010)
Two-sided weighted Fourier inequalities, 2011
LIFLYAND, E. & TIKHONOV, S. `Two-sided weighted Fourier inequalities´. Submitted to *Annali della Scuola Normale Superiore. Classe di Scienze* (2011)
Two-weight inequalities for the Hilbert transform of monotone functions, 2011
STEPANOV, V. & TIKHONOV, S. `Two-weight inequalities for the Hilbert transform of monotone functions´. *Doklady Mathematics*; 437, 606–608 (2011)
Ulyanov inequalities and generalized Liouville derivatives, 2011
TIKHONOV, S. & TREBELS, W. `Ulyanov inequalities and generalized Liouville derivatives´. *Proc. Roy. Soc. Edinburgh Sect. A*; 141, 205–224 (2011)
Ulyanov inequalities and generalized Liouville derivatives, 2010
TIKHONOV, S. & TREBELS, W. `Ulyanov inequalities and generalized Liouville derivatives´. *Proc. Roy. Soc. Edinburgh Sect. A* (2010)
Uniform convergence and integrability of Fourier integrals, 2010
DYACHENKO, M.; LIFLYAND, E. & TIKHONOV, S. `Uniform convergence and integrability of Fourier integrals´. *Jour. Math. Anal. Appl.*; 372, 328–338, 2010
Weak Type Inequalities for Moduli of Smoothness: The Case of Limit Value Parameters, 2010
TIKHONOV, S. `Weak Type Inequalities for Moduli of Smoothness: The Case of Limit Value Parameters´. *J. Fourier Anal. Appl.*; Vol. 16, Is. 4 (2010), 590–608
Weighted Fourier Inequalities: Boas conjecture in Rn, 2011
GORBACHEV, D.; LIFLYAND, E. & TIKHONOV, S. `Weighted Fourier Inequalities: Boas conjecture in Rn´. *J. d’Analyse Math.*; 114, 99–120 (2011)
Weighted Fourier Inequalities: Boas conjecture in Rn, 2010
GORBACHEV, D.; LIFLYAND, E. & TIKHONOV, S. `Weighted Fourier Inequalities: Boas conjecture in Rn´. Submitted to *J. d’Analyse Math.* (2010)
Weighted norm inequalities for Fourier transforms of radial functions, 2010
GORBACHEV, D.; LIFLYAND, E. & TIKHONOV, S. *Weighted norm inequalities for Fourier transforms of radial functions*. Publicacions del CRM, núm. 937 (2010)
Weighted Paley-Wiener theorem on the Hilbert transform, 2010
LIFLYAND, E. & TIKHONOV, S. `Weighted Paley-Wiener theorem on the Hilbert transform´. *C. R. Acad. Sci. Paris, Ser. I*; 348, 1253–1258, 2010
Wiener type theorems for Jacobi series with nonnegative coefficients, 2011
MHASKAR, H. & TIKHONOV, S. `Wiener type theorems for Jacobi series with nonnegative coefficients´. Submitted to *Proc. Amer. Math. Soc.* (2011)
Wiener type theorems for Jacobi series with nonnegative coefficients, 2010
MHASKAR, N. & TIKHONOV, S. `Wiener type theorems for Jacobi series with nonnegative coefficients´. Submitted to *Proc. Amer. Math. Soc.* (2010)
Wiener type theorems for Jacobi series with nonnegative coefficients, 2010
MHASKAR, N. & TIKHONOV, S. *Wiener type theorems for Jacobi series with nonnegative coefficients*. Publicacions del CRM, núm. 967 (2010)
Wiener’s positive Fourier coefficients Theorem in variants of Lp spaces, 2010
ASH, M.; TIKHONOV, S. & TUNG, J. `Wiener’s positive Fourier coefficients Theorem in variants of Lp spaces´. *Michigan Math. J.*; Vol. 59, 1 (2010), 143–152
Participacions a Congressos
Constructive Approximation and Harmonic Analysis
CRM, Bellaterra (10/3/2011- 20/3/2011)
Organitzat pel Prof. S. Y. Tikhonov
Altres activitats (conferències, seminaris)
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Seminari no especificat (1/3/2010)
Al Barcelona’s Joint Analysis Seminar, Barcelona, març 2010. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Seminari no especificat (1/4/2010)
Al Analysis Seminar, Univ. La Laguna -Espanya-, abril 2010. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Seminari no especificat (1/10/2010)
A un Seminari de la Kazakh National Univ. Al-Farabi, Almaty -Kazakhstan-, octubre 2010. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Seminari no especificat (1/10/2010)
Al Analysis Seminar, Gumilyov Eurasian National Univ., Astana -Kazakhstan-, octubre i novembre 2010. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Seminari no especificat (1/11/2010)
A un col·loqui de la Delft Univ. of Technology -Països Baixos-, 2010. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Fourier transforms and general monotonicity (1/8/2011)
Al Analysis Seminar, Steklov Mathematical Institute, Moscou -Rússia-, agost 2011. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Weighted Fourier inequalities (1/8/2011)
Al Besov/Nikolskii Seminar, Steklov Mathematical Institute, Moscou -Rússia-, agost 2011. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Moduli of smoothness and growth properties of Fourier transforms (22/8/2011)
Al ISAAC congress, Moscou -Rússia-, 22 a 27 agost 2011. No en consta la data exacta
Investigador consolidat, cap de línia de recerca - Centre de Recerca Matemàtica ICREA - GR Anàlisi harmònica i teoria d’aproximació [1/10/2008 - 29/2/2012]
Fourier transforms and smoothness (26/9/2011)
A la International Conference on Function Spaces, Weights and Variable Exponent Analysis, CRM, Barcelona, 26 a 30 setembre 2011. No en consta la data exacta