Results 51 to 60 of about 3,904 (117)
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
Mathematische Nachrichten, Volume 297, Issue 2, Page 629-643, February 2024.Abstract On RN$\mathbb {R}^N$ equipped with a root system R, multiplicity function k≥0$k \ge 0$, and the associated measure dw(x)=∏α∈R|⟨x,α⟩|k(α)dx$dw(\mathbf {x})=\prod _{\alpha \in R}|\langle \mathbf {x},\alpha \rangle |^{k(\alpha )}\,d\mathbf {x}$, we consider a (nonradial) kernel K(x)${K}(\mathbf {x})$, which has properties similar to those from ...
Jacek Dziubański, Agnieszka Hejna
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Oscillation estimates, self-improving results and good-$\lambda$ inequalities
, 2015 Our main result is an abstract good-$\lambda$ inequality that allows us to consider three self-improving properties related to oscillation estimates in a very general context.
Berkovits, Lauri +2 more
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On Muckenhoupt-Wheeden Conjecture
, 2010 Let M denote the dyadic Maximal Function. We show that there is a weight w, and Haar multiplier T for which the following weak-type inequality fails: $$ \sup_{t>0}t w\left\{x\in\mathbb R \mid |Tf(x)|>t\right\}\le C \int_{\mathbb R}|f|Mw(x)dx.
Reguera, Maria Carmen
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Abstract framework for John-Nirenberg inequalities and applications to Hardy spaces
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012 22 ...
Bernicot, Frederic, Zhao, Jiman
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JOHN-NIRENBERG INEQUALITIES ON LEBESGUE SPACES WITH VARIABLE EXPONENTS
Taiwanese Journal of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The John-Nirenberg Inequality and a Sobolev Inequality in General Domains
Journal of Mathematical Analysis and Applications, 1993 The classical John-Nirenberg lemma [\textit{F. John} and \textit{L. Nirenberg}, Commun. Pure Appl. Math. 14, 415-426 (1961; Zbl 0102.043)] states that if the mean oscillation of a function \(u\) in a cube \(D\) is uniformly bounded in each subcube, parallel to \(D\), then the oscillation of \(u\) is exponentially integrable in \(D\); more precisely, \[
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Good-λ Inequalities, Rearrangements, and the John-Nirenberg Theorem
Journal of Mathematical Analysis and Applications, 1993 The goal of this work is to prove an integral inequality of the form \[ {1 \over | Q_ 0 |} \int_{Q_ 0} \left | f(x)-{1 \over | Q_ 0 |} \int_{Q_ 0} f\right |^ pdx \leq C{1 \over | Q_ 0 |} \int_{Q_ 0} \left | f(x)-{1 \over | Q_ 0 |} \int_{Q_ 0} f \right | dx, \] for \(Q_ 0\) a cube in \(\mathbb{R}^ n\), with a constant \(C\) that does not depend on the ...
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The Hardy–Morrey & Hardy–John–Nirenberg inequalities involving distance to the boundary
Journal of Differential Equations, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filippas, Stathis, Psaradakis, Georgios
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Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation. [PDF]
Ann PDE, 2021 Colombo M, Haffter S.
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