BOUNDEDNESS OF VARIATION OPERATORS ASSOCIATED WITH THE HEAT SEMIGROUP GENERATED BY HIGH ORDER SCHR(O)DINGER TYPE OPERATORS

• 作者: Chao ZHANG Suying LIU
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1215-1228
• 页数: 14页
• 语种: 英文

摘要

In this article,we derive the Lp-boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schr(o)dinger type operator (-△)2 + V2 in]Rn(n ≥ 5) with V being a nonnegative potential satisfying the reverse H(o)lder inequality.Furthermore,we prove the boundedness of the variation operators on associated Morrey spaces.In the proof of the main results,we always make use of the variation inequalities associated with the heat semigroup generated by the biharmonic operator (-△)2.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Suying LIU		1	0	0.0	0.0
2	Chao ZHANG		1	0	0.0	0.0