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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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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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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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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Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space [PDF]
Opuscula Mathematica, 2021 In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space and Morrey space. The theory developed generalize and complement some of already existing results.
Amit K. Verma, Bivek Gupta
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Norm estimates for Bessel-Riesz operators on generalized Morrey spaces [PDF]
Mathematica Bohemica, 2018 We revisit the properties of Bessel-Riesz operators and present a different proof of the boundedness of these operators on generalized Morrey spaces. We also obtain an estimate for the norm of these operators on generalized Morrey spaces in terms of the ...
Mochammad Idris, Hendra Gunawan, Eridani
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Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces [PDF]
, 2017 The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1
Karapetyants, Alexey, Samko, Stefan
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Strong approximation of Fourier series on generalized periodic Morrey spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In recent years, a lot of attention has been paid to study of Morrey type spaces. Many applications in partial differential equation of Morrey spaces and Lizorkin-Triebel spaces have been given in work G.Di Fazioand, M.
A.N. Adilkhanov +2 more
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Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces
Journal of Inequalities and Applications, 2009 We consider generalized Morrey spaces ℳp,ω(ℝn) with a general function ω(x,r) defining the Morrey-type norm. We find the conditions on the pair (ω1,ω2) which ensures the boundedness of the maximal operator and ...
Vagif S. Guliyev
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