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Some Characterizations of Lipschitz Spaces via Commutators on Generalized Orlicz-Morrey Spaces
(SPRINGER BASEL AG, 2018)
In this paper, we give some new characterizations of the Lipschitz spaces via the boundedness of commutators associated with the fractional maximal operator, Riesz potential and Caldern-Zygmund operator on generalized ...
Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces
(SPRINGER, 2018)
In the present paper, we shall give necessary and sufficient conditions for the Spanne and Adams type boundedness of the commutators of fractional maximal operator on generalized Orlicz-Morrey spaces, respectively. The ...
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 ...
Boundedness of the maximal operator in the local Morrey-Lorentz spaces
(SPRINGEROPEN, 2013)
In this paper we define a new class of functions called local Morrey-Lorentz spaces M-p,q;lambda(loc)(R-n), 0 < p,q <= infinity and 0 <= lambda <= 1. These spaces generalize Lorentz spaces such that M-p,q;0(loc) (R-n) = ...
PARABOLIC FRACTIONAL MAXIMAL AND INTEGRAL OPERATORS WITH ROUGH KERNELS IN PARABOLIC GENERALIZED MORREY SPACES
(ELEMENT, 2015)
Let P be a real nxn matrix, whose all the eigenvalues have positive real part, A(t) = t(P), t > 0, gamma = trP is the homogeneous dimension on R-n and Omega is an A(t)-homogeneous of degree zero function, integrable to a ...
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 ...
Global Regularıty In Orlıcz-Morrey Spaces Of Solutıons To Nondıvergence Ellıptıc Equatıons Wıth Vmo Coeffıcıents
(TEXAS STATE UNIV, 2018)
We show continuity in generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n) of sublinear integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to ...
Generalized Morrey Regularity For Parabolic Equations With Discontinuous Data
(CAMBRIDGE UNIV PRESS, 2015)
We prove continuity in generalized parabolic Morrey spaces M-p,M-phi of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) ...
Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator
(KOSSUTH LAJOS TUDOMANYEGYETEM, 2017)
We find sufficient conditions for the non-triviality of the generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n), and prove the boundedness of the fractional maximal operator and its commutators with BMO-coefficients in ...
Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings
(POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN, 2015)
We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.
