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Riesz potential on the Heisenberg group and modified Morrey spaces
(OVIDIUS UNIV PRESS, 2012)
In this paper we study the fractional maximal operator M-alpha, 0 <= alpha < Q and the Riesz potential operator F-alpha L 0 < alpha < Q on the Heisenberg group in the modified Morrey spaces L-p,L-lambda(H-n), where Q = 2n ...
Parabolic Fractional Maximal Operator in Modified Parabolic Morrey Spaces
(HINDAWI LTD, 2012)
We prove that the parabolic fractional maximal operator M-alpha(P), 0 <= alpha < gamma, is bounded from the modified parabolic Morrey space <(M)over tilde>(1,lambda,P)(R-n) to the weak modified parabolic Morrey space W (M) ...