Variation Operators for Semigroups and Riesz Transforms on BMO in the Schrodinger Setting

被引：11

作者：

Betancor, Jorge J. ^{[1
]}

Farina, Juan C. ^{[1
]}

Harboure, Eleonor ^{[2
]}

Rodriguez-Mesa, Lourdes ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Sta Cruz De Ten, Spain

[2] CONICET Univ Nacl Litoral, Inst Matemat Aplicada Litoral, IMAL, RA-3450 Santa Fe, Argentina

来源：

POTENTIAL ANALYSIS | 2013年 / 38卷 / 03期

关键词：

Schrodinger operators; Variation; Riesz transforms; Heat semigroups; VARIATION INEQUALITIES; OSCILLATION; INTEGRALS; COMMUTATORS; SPACE;

D O I：

10.1007/s11118-012-9294-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that the variation operators of the heat semigroup and the truncations of Riesz transforms associated to the Schrodinger operator are bounded on a suitable BMO type space.

引用

页码：711 / 739

页数：29

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