Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
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Compactness Characterizations of Commutators on Ball Banach Function Spaces [PDF]
Potential Analysis, 2021 Let X be a ball Banach function space on ℝ n ${\mathbb R}^{n}$ . Let Ω be a Lipschitz function on the unit sphere of ℝ n ${\mathbb R}^{n}$ , which is homogeneous of degree zero and has mean value zero, and let T _Ω be the convolutional singular integral ...
Jin Tao +3 more
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
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Weak Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Decompositions, Real Interpolation, and Calderón–Zygmund Operators [PDF]
Journal of Geometric Analysis, 2022 Let (X,d,μ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$({\mathbb {X}}
Jingsong Sun, Dachun Yang, Wen Yuan
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Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces [PDF]
Mathematische Nachrichten, 2021 Let (X,ρ,μ)$({\mathcal {X}},\rho ,\mu )$ be a space of homogeneous type in the sense of Coifman and Weiss, and let Y(X)$Y({\mathcal {X}})$ be a ball quasi‐Banach function space on X${\mathcal {X}}$ , which supports both a Fefferman–Stein vector‐valued ...
Xianjie Yan +3 more
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Boundedness of Fractional Integrals on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces [PDF]
Tokyo Journal of Mathematics, 2022 Let $X$ be a ball quasi-Banach function space on ${\mathbb R}^n$ and $H_X({\mathbb R}^n)$ the Hardy space associated with $X$, and let $\alpha\in(0,n)$ and $\beta\in(1,\infty)$.
Yiqun Chen, H. Jia, Dachun Yang
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Application of a New Class of Characteristic Function
Journal of Harbin University of Science and Technology, 2021 In Banach space，considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ，the independent variable is t，and the domain is ［0，+ ∞ ) ，and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
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Vector-valued extensions of operators through multilinear limited range extrapolation
, 2021 We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular we show how boundedness of an $m$-(sub)linear operator \[T:L^{p_1}(w_1^{p_1}
Lorist, Emiel, Nieraeth, Zoe
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Design and properties of wave packet smoothness spaces [PDF]
, 2019 We introduce a family of quasi-Banach spaces - which we call wave packet smoothness spaces - that includes those function spaces which can be characterised by the sparsity of their expansions in Gabor frames, wave atoms, and many other frame ...
Bytchenkoff, Dimitri +1 more
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Multipliers of Banach valued weighted function spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We generalize Banach valued spaces to Banach valued weighted function spaces and study the multipliers space of these spaces. We also show the relationship between multipliers and tensor product of Banach valued weighted function spaces.
Serap Öztop
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