Results 41 to 50 of about 3,089 (88)
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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The predual and John-Nirenberg inequalities on generalized BMO martingale spaces [PDF]
Transactions of the American Mathematical Society, 2016 In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces $H_{p,q}^s$ for ...
Jiao, Yong +3 more
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Local cone multipliers and Cauchy–Szegö projections in bounded symmetric domains
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract We show that the cone multiplier satisfies local Lp$L^p$‐Lq$L^q$ bounds only in the trivial range 1⩽q⩽2⩽p⩽∞$1\leqslant q\leqslant 2\leqslant p\leqslant \infty$. To do so, we suitably adapt to this setting the proof of Fefferman for the ball multiplier.
Fernando Ballesta Yagüe +1 more
wiley +1 more source
Weak Orlicz-Hardy Martingale Spaces [PDF]
, 2013 In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
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Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
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Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Mathematische Nachrichten, Volume 297, Issue 4, Page 1370-1406, April 2024.Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
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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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Interpolation between H\" older and Lebesgue spaces with applications
, 2018 Classical interpolation inequality of the type $\|u\|_{X}\leq C\|u\|_{Y}^{\theta}\|u\|_{Z}^{1-\theta}$ is well known in the case when $X$, $Y$, $Z$ are Lebesgue spaces. In this paper we show that this result may be extended by replacing norms $\|\cdot\|_{
Molchanova, Anastasia +2 more
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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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