Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Boundedness of composition operators in Orlicz-Morrey spaces
View through CrossRef
Abstract
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces.
2020 Mathematics Subject Classification. 46E30, 42B35, 42B20, 42B25.
Title: Boundedness of composition operators in Orlicz-Morrey spaces
Description:
Abstract
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces.
The results of boundedness include Lebesgue and generalized Morrey spaces as special cases.
Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces.
The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces.
2020 Mathematics Subject Classification.
46E30, 42B35, 42B20, 42B25.
Related Results
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
Compactness of Commutators for Riesz Potential on Local Morrey-type spaces
Compactness of Commutators for Riesz Potential on Local Morrey-type spaces
The paper considers Morrey-type local spaces from LMpθw The main work is the proof of the commutator compactness theorem for the Riesz potential [b,Iα] in local Morrey-type spaces ...
Integral operators on local Orlicz-Morrey spaces
Integral operators on local Orlicz-Morrey spaces
We establish a general principle on the boundedness of operators on local
Orlicz-Morrey spaces. As applications of this principle, we obtain the
boundedness of the Calder?n-Z...
Vanishing Morrey integrability for Riesz potentials in Morrey-Orlicz spaces
Vanishing Morrey integrability for Riesz potentials in Morrey-Orlicz spaces
Our aim in this paper is to establish vanishing Morrey integrability for Riesz potentials of functions in Morrey-Orlicz spaces. We discuss the size of the exceptional sets by using...
Integral operators on grand Morrey spaces
Integral operators on grand Morrey spaces
Abstract
The main results of this paper give the boundedness of some integral operators on the grand Morrey spaces defined on the positive semi-axis. We obtain a ...
Monotonicities of Quasi-Normed Orlicz Spaces
Monotonicities of Quasi-Normed Orlicz Spaces
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped w...
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers we...
On the convergence of Kantorovich operators in Morrey spaces
On the convergence of Kantorovich operators in Morrey spaces
Abstract
In this paper, we investigate Kantorovich operators on Morrey spaces. We first recall the main tool in the proof of the uniform boundedness of Kantorovich operator...