Results 1 to 10 of about 3,634 (78)
Boundedness of Littlewood-Paley Operators Associated with Gauss Measures
Journal of Inequalities and Applications, 2010 Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj +2 more sources
Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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Subdyadic square functions and applications to weighted harmonic analysis [PDF]
, 2016 Through the study of novel variants of the classical Littlewood-Paley-Stein $g$-functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on $\mathbb{R}^d$ satisfying regularity hypotheses adapted to fine ...
Beltran, David, Bennett, Jonathan
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, 2016 In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood--Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter ...
Han, Yongsheng +3 more
openaire +2 more sources
Hardy-Stein identities and square functions for semigroups
, 2015 We prove a Hardy-Stein type identity for the semigroups of symmetric, pure-jump L\'evy processes.
Bañuelos, Rodrigo +2 more
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A characterization of two weight norm inequality for Littlewood-Paley $g_{\lambda}^{*}$-function
, 2017 Let $n\ge 2$ and $g_{\lambda}^{*}$ be the well-known high dimensional Littlewood-Paley function which was defined and studied by E. M. Stein, \begin{align*} g_{\lambda}^{*}(f)(x) =\bigg(\iint_{\mathbb R^{n+1}_{+}} \Big(\frac{t}{t+|x-y|}\Big)^{n\lambda} |\
Cao, Mingming +2 more
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Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
, 2012 Marcinkiewicz multipliers are L^{p} bounded for ...
Coifman +5 more
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Area Littlewood-Paley functions associated with Hermite and Laguerre operators [PDF]
, 2010 In this paper we study Lp-boundedness properties for area Littlewood-Paley functions associated with heat semigroups for Hermite and Laguerre ...
Betancor, J. J. +2 more
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Fourier multipliers in Banach function spaces with UMD concavifications
, 2017 We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-valued multipliers on Banach function spaces. Our results involve a new boundedness condition on sets of operators which we call $\ell^{r}(\ell^{s ...
Amenta, Alex +2 more
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Extremal Problems in Bergman Spaces and an Extension of Ryabykh's Theorem [PDF]
, 2013 We study linear extremal problems in the Bergman space $A^p$ of the unit disc for $p$ an even integer. Given a functional on the dual space of $A^p$ with representing kernel $k \in A^q$, where $1/p + 1/q = 1$, we show that if the Taylor coefficients of ...
Ap If, Timothy Ferguson
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