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FRACTIONAL MAXIMAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED MORREY SPACES ON HEISENBERG GROUP
(INST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN, 2018)
In this paper we study the boundedness of the fractional maximal operator M-alpha on Heisenberg group H-n in the generalized Morrey spaces M-p,(phi)(H-n). We shall give a characterization for the strong and weak type Spanne ...
Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces
(DE GRUYTER POLAND SP ZOO, 2016)
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the ...
Maximal Operator in Variable Exponent Generalized Morrey Spaces on Quasi-metric Measure Space
(SPRINGER BASEL AG, 2016)
We consider generalized Morrey spaces on quasi-metric measure spaces , in general unbounded, with variable exponent p(x) and a general function defining the Morrey-type norm. No linear structure of the underlying space X ...
Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
(SPRINGER BASEL AG, 2011)
In this paper the authors study the boundedness for a large class of sublinear operators T-alpha, alpha is an element of [0, n) generated by Calderon-Zygmund operators (alpha = 0) and generated by Riesz potential operator ...
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 ...
The boundedness of the generalized anisotropic potentials with rough kernels in the Lorentz spaces
(TAYLOR & FRANCIS LTD, 2011)
In this paper, we study the generalized anisotropic potential integral K(alpha,gamma) circle times f and anisotropic fractional integral I(Omega,alpha,gamma) f with rough kernels, associated with the Laplace-Bessel ...
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 ...
Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces
(SPRINGER HEIDELBERG, 2011)
In this paper we give the conditions on the pair (omega (1), omega (2)) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized Morrey space ...
A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces
(TAYLOR & FRANCIS LTD, 2017)
In the present paper, we shall give a characterization for weak/strong Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces.
Riesz potential and its commutators on Orlicz spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017)
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I-alpha on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1): 247-286, 2011) found ...