Results 61 to 70 of about 1,510 (104)

Multiple Hilbert transform associated with polynomials [PDF]

arXiv, 2013
We study conditions determining the $L^p$ boundedness of multiple Hilbert transforms associated with polynomials.
arxiv  

Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents

Open Mathematics, 2018
Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Bellman function approach to the sharp constants in uniform convexity [PDF]

arXiv, 2014
We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.
arxiv  

Weighted anisotropic Morrey Spaces estimates for anisotropic maximal operators [PDF]

arXiv, 2016
The aim of this paper can give weighted anisotropic Morrey Spaces estimates for anisotropic maximal functions.
arxiv  

A Cotlar Type Maximal Function Associated With Fourier Multipliers [PDF]

arXiv, 2019
We prove the $L^p$ boundedness of a maximal operator associated with a dyadic frequency decomposition of a Fourier multiplier, under a weak regularity assumption.
arxiv  

Real-Variable Characterizations of Hardy–Lorentz Spaces on Spaces of Homogeneous Type with Applications to Real Interpolation and Boundedness of Calderón–Zygmund Operators

Analysis and Geometry in Metric Spaces, 2020
Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
doaj   +1 more source

Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications [PDF]

arXiv, 2013
In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$. Using Mellin transform argument, from this estimates we obtain boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to
arxiv  

The role of an integration identity in the analysis of the Cauchy-Leray transform [PDF]

arXiv, 2017
The purpose of this paper is to complement the results in [LS-1] by showing the dense definability of the Cauchy-Leray transform for the domains that give the counterexamples of [LS-1], where $L^p$-boundedness is shown to fail when either the "near" $C^2$ boundary regularity, or the strong $\mathbb C$-linear convexity assumption is dropped.
arxiv  

Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]

arXiv, 2004
A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized $L^p$ spaces with variable exponent.
arxiv  

On modular inequalities in variable L^p spaces [PDF]

arXiv, 2004
We show that the Hardy-Littlewood maximal operator and a class of Calder\'on-Zygmund singular integrals satisfy the strong type modular inequality in variable $L^p$ spaces if and only if the variable exponent $p(x)\sim const$.
arxiv