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Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2013)
We consider local "complementary" generalized Morrey spaces M-c({x0})p(.).omega (Omega) in which the p-means of function are controlled over Omega \ B(x(0), r) instead of B(x(0), r), where Omega subset of R-n is a bounded ...
(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 ...
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-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces
(SPRINGEROPEN, 2014)
We study the boundedness of Phi-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including their weak versions. These conditions are satisfied by most of the ...
MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
(ELEMENT, 2018)
We consider the generalized weighted Morrey spaces M-omega(p(.),phi) (Omega) with variable exponent p(x) and a general function phi(x, r) defining the Morrey-type norm. In case of unbounded sets Omega subset of R-n we prove ...
Boundedness Of The Maxımal, Potentıal And Sıngular Operators In The Generalızed Varıable Exponent Morrey Spaces
(MATEMATISK INST, 2010)
We consider generalized Morrey spaces M(P(.),omega)(Omega) with variable exponent p(x) and a general function omega(x, r) defining the Money-type norm. In case of bounded sets Omega subset of R(n) we prove the boundedness ...