Video library: D. V. Gorbachev, V. I. Ivanov, Weight inequalities for the potential of Dunkl--Rissa

Videolibrary

RUS ENG

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Weight inequalities for the potential of Dunkl–Rissa

D. V. Gorbachev, V. I. Ivanov

Tula state University

*Supplementary materials:*
	Adobe PDF	592.0 Kb

Supplementary materials:

abstract.pdf (592.0 Kb)

References

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)
Riesz M., “L'integrale de Riemann-Liouville et le probleme de Cauchy”, Acta Math., 81:1 (1949), 1–222
Dunkl C. F., “Hankel transforms associated to finite reflections groups”, Contemp. Math., 138 (1992), 123–138
Rösler M., “Dunkl operators. Theory and applications”, Orthogonal Polynomials and Special Functions, Lecture Notes in Math, 1817, Springer-Verlag, 2003, 93–135
Thangavelu S., Xu Y., “Riesz transform and Riesz potentials for Dunkl transform”, J. Comput. Appl. Math, 199 (2007), 181–195
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
Gorbachev D. V., Ivanov V. I., Tikhonov S. Yu., Riesz potential and maximal function for Dunkl transform, no. 1238, CRM, Barcelona, 2018