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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 ...
Decompositions of local Morrey-type spaces
(SPRINGER, 2017)
We develop and apply a decomposition theory for generic local Morrey-type spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morrey-type spaces are isomorphic to Hardy local Morrey-type ...
Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces
(SPRINGER, 2009)
We consider generalized Morrey spaces Mp,w (R(n)) with a general function. w(x, r) defining the Morrey- type norm. We find the conditions on the pair (w(1), w(2)) which ensures the boundedness of the maximal operator and ...
ROUGH SINGULAR INTEGRAL OPERATORS AND ITS COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES
(ELEMENT, 2016)
Let Omega is an element of L-q(Sn-1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn-1. In this paper, we study the boundedness of the singular integral operators with rough kernels ...
Commutator of fractional integral with Lipschitz functions associated with Schrodinger operator on local generalized Morrey spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2018)
Let L = -Delta + V be a Schrodinger operator on R-n, where n >= 3 and the nonnegative potential V belongs to the reverse Holder class RHq1 for some q(1) > n/2. Let b belong to a new Campanato space Lambda(theta)(nu) (rho) ...
Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces
(SPRINGER/PLENUM PUBLISHERS, 2019)
In this paper, a necessary and sufficient condition, such as the Pontryagin's maximum principle for an optimal control problem with distributed parameters, is given by the third-order Bianchi equation with coefficients ...
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 ...
Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
(SPRINGEROPEN, 2016)
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively. Also we give criteria for ...
Multilinear Commutators of Calderon-Zygmund Operator on Generalized Weighted Morrey Spaces
(HINDAWI LTD, 2014)
The boundedness of multilinear commutators of Calderon-Zygmund operator T-(b) over right arrow on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w belonging to Muckenhoupt's class A(p) is studied. ...
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 ...
