Weighted estimates for Hermite pseudo-multipliers with rough symbols

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Approximation Theory Pub Date : 2024-04-04 DOI:10.1016/j.jat.2024.106043

Fu Ken Ly

引用次数: 0

Abstract

We introduce a class of rough symbols for pseudo-multipliers for Hermite expansions and obtain $L^{p}$ and weighted $L^{p}$ estimates. These symbols generalise the class of rough symbols introduced by Kenig–Staubach.

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带有粗糙符号的赫尔墨特伪乘法器的加权估计值

我们为赫米特展开式的伪乘数引入了一类粗糙符号，并得到了 Lp 和加权 Lp 估计值。这些符号概括了 Kenig-Staubach 引入的粗糙符号类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Approximation Theory 数学-数学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas. These areas include, among others: • Classical approximation • Abstract approximation • Constructive approximation • Degree of approximation • Fourier expansions • Interpolation of operators • General orthogonal systems • Interpolation and quadratures • Multivariate approximation • Orthogonal polynomials • Padé approximation • Rational approximation • Spline functions of one and several variables • Approximation by radial basis functions in Euclidean spaces, on spheres, and on more general manifolds • Special functions with strong connections to classical harmonic analysis, orthogonal polynomial, and approximation theory (as opposed to combinatorics, number theory, representation theory, generating functions, formal theory, and so forth) • Approximation theoretic aspects of real or complex function theory, function theory, difference or differential equations, function spaces, or harmonic analysis • Wavelet Theory and its applications in signal and image processing, and in differential equations with special emphasis on connections between wavelet theory and elements of approximation theory (such as approximation orders, Besov and Sobolev spaces, and so forth) • Gabor (Weyl-Heisenberg) expansions and sampling theory.