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Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces. [PDF]
J Inequal Appl, 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
Wang H.
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New pre-dual space of Morrey space [PDF]
Journal of Mathematical Analysis and Applications, 2011 In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We
Gogatishvili, A. +2 more
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Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces [PDF]
Mathematics, 2021 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 weak Morrey spaces as well. The result in the present paper completes the characterization of the earlier works of the first author’s papers written in 1997 and 2000, as well ...
Eiichi Nakai, Yoshihiro Sawano
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Boundedness of composition operators on Morrey spaces and weak Morrey spaces [PDF]
Journal of Inequalities and Applications, 2021 AbstractIn this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the composition operator induced by a diffeomorphism on Morrey spaces.
Yoshihiro Sawano +4 more
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Nontriviality of Riesz–Morrey spaces [PDF]
Applicable Analysis, 2021 27 pages ...
Zongze Zeng +3 more
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Boundedness of vector-valued intrinsic square functions in Morrey type spaces [PDF]
, 2014 In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spaces $L^{p,\kappa}(w)$ when $1\leq ...
Wang, Hua
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Generalized Hardy–Morrey Spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2017 This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces.
Akbulut, Ali +3 more
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A family of Dirichlet–Morrey spaces [PDF]
Complex Variables and Elliptic Equations, 2019 To each weighted Dirichlet space $\mathcal{D}_p ...
Galanopoulos, Petros +2 more
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Proceedings of the American Mathematical Society, 1986 For 1 ≤ p > ∞ 1 \leq p > \infty , Ω \Omega an open and bounded subset of R n {R^n} , and a nonincreasing and nonnegative function φ \varphi defined in ( 0 ,
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On geometric properties of Morrey spaces [PDF]
Ufa Mathematical Journal, 2021 In this article, we show constructively that Morrey spaces are not uniformly non-$\ell^1_n$ for any $n\ge 2$. This result is sharper than those previously obtained in \cite{GKSS, MG}, which show that Morrey spaces are not uniformly non-square and also not uniformly non-octahedral.
Hendra Gunawan +2 more
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