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Sublinear operators with rough kernel generated by Calderon-Zygmund operators and their commutators on generalized local Morrey spaces
(SPRINGEROPEN, 2015)
In this paper, we will study the boundedness of a large class of sublinear operators with rough kernel T-Omega on the generalized local Morrey spaces LM rho,phi{x0}, for s' <= p, p not equal 1 or p < s, where Omega is an ...
BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES
(SUOMALAINEN TIEDEAKATEMIA, 2015)
We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main ...
The Lp1r1 x Lp2r2 x center dot center dot center dot x L-pkrk boundedness of rough multilinear fractional integral operators in the Lorentz spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015)
In this paper, we prove the O'Neil inequality for the k-linear convolution operator in the Lorentz spaces. As an application, we obtain the necessary and sufficient conditions on the parameters for the boundedness of the ...
Boundedness of Fractional Maximal Operator and its Commutators on Generalized Orlicz-Morrey Spaces
(SPRINGER BASEL AG, 2015)
We consider generalized Orlicz-Morrey spaces including their weak versions . We find the sufficient conditions on the pairs and which ensures the boundedness of the fractional maximal operator from to and from to . As ...
Generalized Money estimates for the gradient of divergence form parabolic operators with discontinuous coefficients
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015)
We consider the Cauchy Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg-flat domains. The coefficients are supposed to be only measurable in one of the space variables and small BMO ...
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 ...
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) ...
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.
