8 citations
- Universitat Autònoma de BarcelonaES4 papers
- Institució Catalana de Recerca i Estudis AvançatsES3 papers
- University of AlbertaCA3 papers
- Centre de Recerca MatemàticaES2 papers
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU1 paper
- Ural Branch of the Russian Academy of SciencesRU1 paper
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math.CA2017★ 3 cited
Nikolskii constants for polynomials on the unit sphere
Feng Dai, Dmitry Gorbachev, Sergey Tikhonov
This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space of spherical polynomials of degree at most on the unit sph…
math.CA2017★ 8 cited
Riesz potential and maximal function for Dunkl transform
D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov
We study weighted -boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy-Litt…