Bessel and Flett potentials associated with Dunkl operators on \(\mathbb R^d\)
From MaRDI portal
Publication:1043667
DOI10.4310/MAA.2008.v15.n4.a5zbMath1221.31009OpenAlexW1968472043MaRDI QIDQ1043667
Anis El Garna, Samir Kallel, Néjib Ben Salem
Publication date: 9 December 2009
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.maa/1254492830
Linear operators on function spaces (general) (47B38) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Orthogonal polynomials and functions associated with root systems (33C52) Singular integrals of functions in several complex variables (32A55)
Related Items
Generalized Dunkl-Lipschitz spaces, Inversion of Bessel potentials associated with the Dunkl operators on IRd, Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential, Characterization of function spaces for the Dunkl type operator on the real line, Lipschitz and Triebel-Lizorkin spaces associated with the Dunkl operators on \(\mathbb{R}^d\), Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting