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Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients
(SPRINGER, 2013)
We show continuity in generalized Morrey spaces of sublinear integral operators generated by Caldern-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of ...
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 ...
Intrinsic Square Functions on Vanishing Generalized Orlicz-Morrey Spaces
(SPRINGER, 2017)
We study the boundedness of intrinsic square functions and their commutators on vanishing generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral ...
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 Fractional Maximal Operator in Modified Parabolic Morrey Spaces
(HINDAWI LTD, 2012)
We prove that the parabolic fractional maximal operator M-alpha(P), 0 <= alpha < gamma, is bounded from the modified parabolic Morrey space <(M)over tilde>(1,lambda,P)(R-n) to the weak modified parabolic Morrey space W (M) ...
Fractional maximal function and its commutators on Orlicz spaces
(SPRINGER BASEL AG, 2019)
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator M on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator ...
On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces
(HINDAWI LTD, 2014)
We consider generalized Orlicz-Morrey spaces M-Phi,M-phi(R-n) including their weak versions WM Phi,phi(R-n). In these spaces we prove the boundedness of the Riesz potential from M-Phi,M-phi 1(R-n) to M-Psi,M-phi 2(R-n) and ...
Multilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
(SPRINGEROPEN, 2014)
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogs of intrinsic square functions in the generalized weighted Morrey spaces M-w(p,phi) (l(2)). We study the boundedness of intrinsic ...
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
(SPRINGER, 2019)
In the present paper, we will characterize the boundedness of the generalized fractional integral operators I rho and the generalized fractional maximal operators M rho on Orlicz spaces, respectively. Moreover, we will ...
COMMUTATORS OF MARCINKIEWICZ INTEGRALS ASSOCIATED WITH SCHRODINGER OPERATOR ON GENERALIZED WEIGHTED MORREY SPACES
(ELEMENT, 2016)
Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative potential V belongs to the reverse Holder class. Let also Omega is an element of L-q(Sn-1) be a homogeneous function of ...
