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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 ...
(Phi,Psi)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces
(SPRINGER-VERLAG ITALIA SRL, 2016)
We study the boundedness of -admissible potential operators and their commutators on vanishing generalized Orlicz-Morrey spaces including their weak versions. These conditions are satisfied by most of the operators in ...