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Boundedness for the Modified Fractional Integral Operator from Mixed Morrey Spaces to the Bounded Mean Oscillation Space and Lipschitz Spaces [PDF]
Journal of Function Spaces, 2022 In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
Mingquan Wei, Lanyin Sun
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Bounded Point Derivations and Functions of Bounded Mean Oscillation [PDF]
Computational Methods and Function Theory, 2021 Let X be a compact subset of the complex plane with the property that every relatively open subset of X has positive area and let A0(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Stephen Deterding
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Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation [PDF]
Comptes Rendus. Mathématique, 2023 We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
Van Schaftingen, Jean
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Gaussian analytic functions of bounded mean oscillation [PDF]
Analysis & PDE, 2023 We consider random analytic functions given by a Taylor series with independent, centered complex Gaussian coefficients. We give a new sufficient condition for such a function to have bounded mean oscillations.
Alon Nishry, Elliot Paquette
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Image Restoration Models Based on Dyadic Hardy Space and Dyadic Bounded Mean Oscillation Space [PDF]
IEEE Access, 2019 Texture is widely existed in various images and plays an important role in many area such as medical image diagnosis, remote sensing, etc. However, the image in texture regions is tend to be deteriorated during restoration process.
Tao Zhang, Xutao Mo
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On functions of bounded β-dimensional mean oscillation [PDF]
Advances in Calculus of Variations, 2023 In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q 0 ⊂ ℝ d → ℝ {u:Q_{0}\subset\mathbb{R}^{d}\to\mathbb{R}} which are integrable on β-dimensional subsets of the cube Q 0 {Q_{0}} : ∥ u ∥ BMO β ( Q 0 ) := sup Q ⊂ Q 0 ...
You-Wei Chen, Daniel Spector
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Extension of functions with bounded mean oscillation [PDF]
Journal of Mathematical Sciences, 2014 The question of extension of functions with bounded mean oscillation (BMO) in one dimension is considered. A method of construction of an extension for which the estimate of its norm is equivalent to the best one is proposed.
Ruslan Shanin
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Riesz projection and bounded mean oscillation for Dirichlet series [PDF]
Studia Mathematica, 2021 We prove that the norm of the Riesz projection from $L^\infty(\Bbb{T}^n)$ to $L^p(\Bbb{T}^n)$ is $1$ for all $n\ge 1$ only if $p\le 2$, thus solving a problem posed by Marzo and Seip in 2011.
Sergeĭ Konyagin +3 more
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Journal of Function SpacesIn this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz +3 more
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FUNCTIONS OF BOUNDED MEAN OSCILLATION [PDF]
Taiwanese Journal of Mathematics, 2006 $BMO$, the space of functions of bounded mean oscillation, was first introduced by F. John and L. Nirenberg in 1961. It became a focus of attention when C. Fefferman proved that $BMO$ is the dual of the (real) Hardy space $H^1$ in 1971. In the past 30 years, this space was studied extensively by many mathematicians.
Der‐Chen Chang, Cora Sadosky
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