Results 1 to 10 of about 3,623 (59)
Littlewood-Paley Theory for Triangle Buildings. [PDF]
J Geom Anal, 2018 For the natural two parameter filtration $(\mathcal{F}_\lambda : \lambda \in P)$ on the boundary of a triangle building we define a maximal function and a square function and show their boundedness on $L^p(\Omega_0)$ for $p \in (1, \infty)$.
Steger T, Trojan B.
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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
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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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An Extension of a Boundedness Result for Singular Integral Operators [PDF]
, 2016 In this paper, we study some operators which are originated from classical Littlewood-Paley theory. We consider their modification with respect to our discontinuous setup, where the underlying process is the product of a one dimensional Brownian motion ...
Karli, Deniz
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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 sharp estimate for the Hilbert transform along finite order lacunary sets of directions
, 2017 Let $D$ be a nonnegative integer and ${\mathbf{\Theta}}\subset S^1$ be a lacunary set of directions of order $D$.
Di Plinio, Francesco, Parissis, Ioannis
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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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On the maximal directional Hilbert transform in three dimensions
, 2018 We establish the sharp growth rate, in terms of cardinality, of the $L^p$ norms of the maximal Hilbert transform $H_\Omega$ along finite subsets of a finite order lacunary set of directions $\Omega \subset \mathbb R^3$, answering a question of Parcet and
Di Plinio, Francesco, Parissis, Ioannis
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Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals [PDF]
, 2010 We prove sharp $L^p(w)$ norm inequalities for the intrinsic square function (introduced recently by M.
Lerner, Andrei K.
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