Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:499

Article

Langowski, Bartosz^1,2  Nowak, Adam³ 

[1] Indiana Univ, Dept Math, 831 East 3rd St, Bloomington, IN 47405 USA

[2] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wyb Wyspianskiego 27, PL-50370 Wroclaw, Poland

[3] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland

关键词: Bessel operator;    Continuous Fourier-Bessel expansions;    Hankel transform;    Heat semigroup maximal operator;    Riesz transform;    Square function;   

DOI  :  10.1016/j.jmaa.2021.125061

来源: Elsevier

【 摘 要 】

We prove sharp power-weighted L-p, weak type and restricted weak type inequalities for the heat semigroup maximal operator and Riesz transforms associated with the Bessel operator B-v in the exotic range of the parameter -infinity < v < 1. Moreover, in the same framework, we characterize basic mapping properties for other fundamental harmonic analysis operators, including the heat semigroup based vertical g-function and fractional integrals (Riesz potential operators). (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free