Mean oscillation bounds on rearrangements [PDF]
Transactions of the American Mathematical Society, 2022 We use geometric arguments to prove explicit bounds on the mean oscillation for two important rearrangements on R n {\mathbb {R}^n} . For the decreasing rearrangement f ∗ f^* of a rearrangeable function f f of bounded mean ...
Burchard, Almut +2 more
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The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain [PDF]
Mathematische Annalen, 2021 We introduce a space of vector fields with bounded mean oscillation whose “tangential” and “normal” components to the boundary behave differently. We establish its Helmholtz decomposition when the domain is bounded. This substantially extends the authors’
Y. Giga, Zhongyang Gu
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Weighted bounded mean oscillation and the Hilbert transform [PDF]
Studia Mathematica, 1976 Benjamin Muckenhoupt, Richard L. Wheeden
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Some properties of functions with bounded mean oscillation [PDF]
Studia Mathematica, 1977 Umberto Neri
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Fractional operators and their commutators on generalized Orlicz spaces [PDF]
Opuscula Mathematica, 2022 In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
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The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part
Czechoslovak Mathematical Journal, 2022 A version of the John-Nirenberg inequality suitable for the functions b ∈ BMO with b− ∈ L∞ is established. Then, equivalent definitions of this space via the norm of weighted Lebesgue space are given.
Min Hu, Dinghuai Wang
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Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of Mathematics, 2022 This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
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Global gradient estimates in directional homogenization
AIMS Mathematics, 2023 In this research, we investigate a higher regularity result in periodic directional homogenization for divergence-form elliptic systems with discontinuous coefficients in a bounded nonsmooth domain. The coefficients are assumed to have small bounded mean
Yunsoo Jang
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
Проблемы анализа, 2022 We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal +3 more
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An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
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