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Weight inequalities for the potential of Dunkl–Rissa

D. V. Gorbachev, V. I. Ivanov

Tula state University


References
  1. Frostman O., “Potentiel d'equilibre et capacite des ensembles avec quelques applications a la theorie des fonctions”, These. Communic. Semin. Math. de l'Univ. de Lund, 3 (1935)
  2. Riesz M., “L'integrale de Riemann-Liouville et le probleme de Cauchy”, Acta Math., 81:1 (1949), 1–222
  3. Dunkl C. F., “Hankel transforms associated to finite reflections groups”, Contemp. Math., 138 (1992), 123–138
  4. Rösler M., “Dunkl operators. Theory and applications”, Orthogonal Polynomials and Special Functions, Lecture Notes in Math, 1817, Springer-Verlag, 2003, 93–135
  5. Thangavelu S., Xu Y., “Riesz transform and Riesz potentials for Dunkl transform”, J. Comput. Appl. Math, 199 (2007), 181–195
  6. Gorbachev D. V., Ivanov V. I., Tikhonov S. Yu., “Positive $L_p$-bounded Dunkl-type generalized translation operator and its applications”, Constr. Approx, 2018, 1–51  crossref
  7. Gorbachev D. V., Ivanov V. I., Tikhonov S. Yu., Riesz potential and maximal function for Dunkl transform, no. 1238, CRM, Barcelona, 2018


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