期刊论文

Deng, Qingquan

英文

Potential Analysis

0926-2601

2018

49

3

381-410

10.1007/s11118-017-9661-7

NSFCNational Natural Science Foundation of China (NSFC) [11661061, 11671163, 11371057, 11471033, 11571160, 11371158, 11771165]; program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]

本校为第一且通讯机构

Let L = L 0 + V be a Schrödinger type operator, where L 0 is a higher order elliptic operator with bounded complex coefficients in divergence form and V is a signed measurable function. Under the strongly subcritical assumption on V, we study the L q boundedness of Riesz transform ∇ m L −1/2 for q ≤ 2 based on the off-diagonal estimates of semigroup e −t L . Furthermore, the authors impose extra regularity assumptions on V to obtain the L q boundedness of Riesz transform ∇ m L −1/2 for some q > 2. In particular, th...