Multipliers for Jacobi expansions in the Hardy spaces

Journal of inequalities and applications

article

Zhong Xue¹  Yehao Shi²  Zhongkai Li³ 

[1] Department of Mathematics, Capital Normal University;Elementary Education College, Capital Normal University;Department of Mathematics, Shanghai Normal University

关键词: Hardy space;    Multipliers;    Jacobi expansion;   

DOI  :  10.1186/s13660-020-2290-5

学科分类：电力

来源: SpringerOpen

【 摘 要 】

The purpose of the paper is to study the coefficient multipliers of the Hardy spaces $H^{p}$ associated with Jacobi expansions of exponential type. The main results are about the boundedness from $H^{p}$ to $\ell ^{q}$ of the multiplier operators in terms of Jacobi expansions of exponential type for (i) $p=1$, $2\le q<\infty $; (ii) $\gamma ( \alpha ,\beta )^{-1}< p<1\le q<\infty $, under appropriate conditions, where $\gamma (\alpha ,\beta )\in (1,\infty ]$ is a number depending on the parameters of the Jacobi system.

【 授权许可】

CC BY