Riesz transforms for Dunkl transform
Bechir Amri, Mohamed Sifi (2012)
Annales mathématiques Blaise Pascal
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In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .
Bechir Amri, Mohamed Sifi (2012)
Annales mathématiques Blaise Pascal
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In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .
Guliyev, Vagif, Hasanov, Javanshir (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials. ...
Kathryn Hare (1992)
Colloquium Mathematicae
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Gadjiev, Akif, Guliyev, Vagif (2008)
Fractional Calculus and Applied Analysis
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2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B. * Akif Gadjiev’s research is partially supported by the grant of INTAS (project 06-1000017-8792) and Vagif Guliyev’s research is partially supported by the grant of the Azerbaijan–U.S. Bilateral Grants Program II (project ANSF Award / 16071) and by the grant of INTAS (project...
Lawton, Wayne (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ercan, Zafer, Önal, Suleyman (2007)
Sibirskij Matematicheskij Zhurnal
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Hajibayov, M.G. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Samko, Stefan (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26D10. The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β. As a corollary, the sharp constant is found for a similar weighted inequality for fractional powers of the Beltrami-Laplace operator on the unit sphere.
Ai Fan (1995)
Colloquium Mathematicae
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Let T be a d×d matrix with integer entries and with eigenvalues >1 in modulus. Let f be a lipschitzian function of positive order. We prove that the series converges almost everywhere with respect to Lebesgue measure provided that .