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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 ...
NECESSARY AND SUFFICIENT CONDITIONS FOR THE BOUNDEDNESS OF THE RIESZ POTENTIAL IN MODIFIED MORREY SPACES
(ELEMENT, 2011)
We prove that the fractional maximal operator M-alpha and the Riesz potential operator I-alpha, 0 < alpha < n are bounded from the modified Morrey space (L) over tilde (1,lambda) (R-n) to the weak modified Morrey space W ...