[1] Amri B, Anker J P, Sifi M. Three results in Dunkl theory. Colloq Math, 2010, 118:299-312[2] Ben Salem N, El Garna A, Kallel S. Bessel and Flett potentials associated with Dunkl operators on Rd. Methods Appl Anal, 2008, 15(4):477-494[3] Ben Salem N, Kallel S. Mean-periodic functions associated with the Dunkl operators. Integr Transf Spec Funct, 2004, 15(2):155-179[4] Benedek A, Panzone R. The spaces Lp, with mixed norm. Duke Math J, 1961, 28(3):303-324[5] Bennett C, Sharpley R. Interpolation of Operators. Pure and Applied Math 129. Orlando, Florida:Academic Press, 1988[6] de Jeu M F E. The Dunkl transform. Invent Math, 1993, 113:147-162[7] Dunkl C F. Differential-difference operators associated to reflection groups. Trans Amer Math Soc, 1989, 311:167-183[8] Dunkl C F. Integral kernels with reflection group invariance. Can J Math, 1991, 43:1213-1227[9] Dunkl C F. Hankel transforms associated to finite reflection groups. Contemp Math, 1992, 138:123-138[10] Flett T M. On the rate of growth of mean values of holomorphic and harmonic functions. Proc London Math Soc, 1970, 20(3):749-768[11] Flett T M. Temperatures, Bessel potentials and Lipschitz spaces. Proc London Math Soc, 1971, 22(3):385-451[12] Herz C S. Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms. J Math Mech, 1968, 18:283-324[13] Johnson R. Temperatures, Riesz potentials, and the Lipschitz spaces of Hertz. Proc London Math Soc, 1973, 27(3):290-316[14] Kallel S. Characterization of function spaces for the Dunkl type operator on the real line. Potential Anal, 2014, 41(1):143-169[15] Kallel S. Generalized Dunkl-Lipschitz spaces. J Pseudo-Diff Oper Appl, 2016, 7(4):533-569[16] Li Zh, Liao J. Harmonic analysis associated with the one-dimensional Dunkl transform. Constr Approx, 2013, 37:233-281[17] Mourou M A. Taylor series associated with a differential-difference operator on the real line. J Comput Appl Math, 2003, 153:343-354[18] Qui B H. Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz. Hiroshima Math J, 1979, 9:245-295[19] Qui B H. Remark on the dual of some Lipschitz spaces. Hiroshima Math J, 1980, 10:163-173[20] Rösler M. Dunkl operators:theory and applications. Lecture notes for the SIAM Euro summer school:Orthogonal polynomials and special functions (Leuven, 2002). Lecture Notes in Mathematics 1817. Springer, 2003:93-136[21] Taibleson M H. On the theory of Lipschitz spaces of distributions on Euclidean n-spaces. I. Principale properties. J Math Mech, 1964, 13(3):407-479[22] Thangavelu S, Xu Y. Convolution operator and maximal function for the Dunkl transform. J Anal Math, 2005, 97:25-55[23] Trimèche K. The Dunkl intertwining operator on spaces of functions and distributions and integral representations of its dual. Integr Transf Spec Funct, 2001, 12:349-374[24] Trimèche K. Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Integr Transf Spec Funct, 2002, 13:17-38 |