Results 1 to 10 of about 47,639 (135)
AIMS Mathematics, 2021 The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
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Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot{K}_{q}^{p}B_{\beta }^{s}(\theta)$ and Herz-type Triebel-Lizorkin spaces $\
A. Djeriou, R. Heraiz
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AIMS Mathematics, 2023 In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda ...
Ming Liu, Bin Zhang, Xiaobin Yao
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Wavelet characterizations of weighted Herz spaces [PDF]
, 2007 We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support.
Izuki, Mitsuo, Tachizawa, Kazuya
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Journal of Function Spaces, 2022 In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.
Omer Abdalrhman Omer +3 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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Operator space structure and amenability for Fig\`a-Talamanca-Herz algebras [PDF]
, 2003 Column and row operator spaces - which we denote by COL and ROW, respectively - over arbitrary Banach spaces were introduced by the first-named author; for Hilbert spaces, these definitions coincide with the usual ones.
Lambert, Anselm +2 more
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The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents
Open Mathematics, 2020 In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
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Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications
Open Mathematics, 2023 In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
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Positive Herz-Schur multipliers and approximation properties of crossed products [PDF]
, 2017 For a $C^*$-algebra $A$ and a set $X$ we give a Stinespring-type characterisation of the completely positive Schur $A$-multipliers on $K(\ell^2(X))\otimes A$.
McKee, Andrew +3 more
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