Results 61 to 70 of about 4,570,213 (277)
Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces
Journal of Function Spaces, 2021 In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents M
Amjad Hussain +3 more
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COMPARISON OF MORREY SPACES AND NIKOL’SKII SPACES
Eurasian Mathematical Journal, 2021 We consider two popular function spaces: the Morrey spaces and the Nikol'skii spaces and investigate the relationship between them in the one-dimensional case. In particular, we prove that, under the appropriate assumptions on the numerical parameters, their restrictions to the class of functions f of the form f (x) = g(|x|), where g is a non-negative ...
Burenkov V.I. +2 more
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Commutators of Hardy-Cesàro operators on Morrey-Herz spaces with variable exponents
AIMS Mathematics, 2022 The aim of this paper is to establish some sufficient conditions for the boundedness of commutators of Hardy-Cesàro operators with symbols in central BMO spaces with variable exponent on some function spaces such as the local central Morrey, Herz, and ...
Kieu Huu Dung +2 more
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Cesàro-type operators on Bergman–Morrey spaces and Dirichlet–Morrey spaces
Proceedings of the Edinburgh Mathematical SocietyIn this paper, we will show the Carleson measure characterizations for the boundedness and compactness of the Cesàro-type operator \begin{equation*}\mathcal{C}_{\mu}(f)(z)=\sum^{\infty}_{n=0}\left( \int_{[0,1)}t^nd\mu(t)\right) \left(\sum^{n}_{k=0}a_k ...
Huayou Xie, Qingze Lin, Junming Liu
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On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
, 2016 We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space ...
Burenkov +8 more
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Martingale Morrey-Campanato Spaces and Fractional Integrals
Journal of Function Spaces and Applications, 2012 We introduce Morrey-Campanato spaces of martingales and give their basic properties. Our definition of martingale Morrey-Campanato spaces is different from martingale Lipschitz spaces introduced by Weisz, while Campanato spaces contain Lipschitz spaces ...
Eiichi Nakai, Gaku Sadasue
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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AIMS Mathematics, 2021 In this paper, we introduce weighted Morrey-Herz spaces $ M\dot K^{\alpha, \lambda}_{q, p(\cdot)}(w~^{p(\cdot)}) $ with variable exponent $ p(\cdot) $. Then we prove the boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue ...
Yueping Zhu, Yan Tang, Lixin Jiang
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Proceedings of the American Mathematical Society, 2013 For any function f f belonging to Q p , λ Q^{p,\lambda } , a certain proper subspace of the classical Morrey space L p , λ L^{p, \lambda } , a sharp capacity weak-type estimate is obtained for its Riesz
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Annales Academiae Scientiarum Fennicae Mathematica, 2020 We discuss the boundedness of linear and sublinear operators in two types of weighted local Morrey spaces. One is defined by Natasha Samko in 2008. The other is defined by Yasuo Komori-Furuya and Satoru Shirai in 2009. We characterize the class of weights for which the Hardy-Littlewood maximal operator is bounded.
Nakamura S., Sawano Y., Tanaka H.
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