POTENTIAL OPERATORS AND LAPLACE TYPE MULTIPLIERS ASSOCIATED WITH THE TWISTED LAPLACIAN

作     者：Adam NOWAK Krzysztof STEMPAK 

作者机构：Instytut MatematycznyPolska Akademia NaukSniadeckich 800-656 WarszawaPoland Wydziat MatematykiPolitechnika WroctawskaWyb.Wyspianskiego 2750-370 WroclawPoland 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2017年第37卷第1期

页      面：280-292页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Science Centre of Poland within the project Opus 2013/09/B/ST1/02057 

主　　题：twisted Laplacian special Hermite expansion negative power potential op-erator fractional integral potential kernel spectral multiplier singular oscil-latory integral 

摘      要：We study potential operators and,more generally,Laplace-Stieltjes and Laplace type multipliers associated with the twisted *** characterize those 1 ≤ p,q ≤ ∞,for which the potential operators are Lp—Lq *** result is a sharp analogue of the classical Hardy-Littlewood-Sobolev fractional integration theorem in the context of special Hermite *** also investigate Lp mapping properties of the Laplace-Stieltjes and Laplace type multipliers.