Tent Space Approach of Morrey Spaces and Their Application to Duality and Complex Interpolation
Journal of Function Spaces, 2023 The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces.
Takahiro Ono
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Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Hua Wang
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Local Good-λ Estimate for the Sharp Maximal Function and Weighted Morrey Space
Journal of Function Spaces, 2015 We give a characterization of weighted Morrey space by using Fefferman and Stein’s sharp maximal function. For this purpose, we consider a local good-λ inequality.
Yasuo Komori-Furuya
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Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces [PDF]
Open Mathematics, 2016 In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
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Variable λ -Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of mathematics, 2022 This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ -central ...
Amjad Hussain, Muhammad Asim, F. Jarad
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On Boundedness Property of Singular Integral Operators Associated to a Schrödinger Operator in a Generalized Morrey Space and Applications [PDF]
Acta Mathematica Scientia, 2019 In this paper, we provide the boundedness property of the Riesz transforms associated to the Schrodinger operator $\mathcal{L}=-\Delta + \mathbf{V}$ in a new weighted Morrey space which is the generalized version of many previous Morrey type spaces.
L. Truong +2 more
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On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces [PDF]
, 2013 We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\Rn)$ including their weak versions $WM_{\Phi,\varphi}(\Rn)$. In these spaces we prove the boundedness of the Riesz potential from $M_{\Phi,\varphi_1}(\Rn)$ to $M_{\Psi,\varphi_2}(\Rn)$ and ...
Deringoz, Fatih, Guliyev, Vagif S.
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Pointwise Multipliers on Weak Morrey Spaces
Analysis and Geometry in Metric Spaces, 2020 We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
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On positive solutions of the $(p,A)$-Laplacian with a potential in Morrey space [PDF]
, 2015 We study qualitative positivity properties of quasilinear equations of the form \[ Q'_{A,p,V}[v] := -\mathrm{div}(|\nabla v|_A^{p-2}A(x)\nabla v) + V(x)|v|^{p-2}v =0 \qquad x\in\Omega, \] where $\Omega$ is a domain in $\mathbb{R}^n ...
Y. Pinchover, Georgios Psaradakis
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Journal of Function Spaces, 2022 In this paper, we introduce the generalized grand Morrey spaces in the framework of probability space setting in the spirit of the martingale theory and grand Morrey spaces.
Libo Li, Zhiwei Hao, Xinru Ding
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