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

共 50 条

[1] Variation operators for semigroups and Riesz transforms acting on weighted Lp and BMO spaces in the Schrodinger setting
Tang, Lin
Zhang, Qian
[J]. REVISTA MATEMATICA COMPLUTENSE, 2016, 29 (03): : 559 - 621
[2] Variation Operators for Semigroups and Riesz Transforms on BMO in the Schrödinger Setting
Jorge J. Betancor
Juan C. Fariña
Eleonor Harboure
Lourdes Rodríguez-Mesa
[J]. Potential Analysis, 2013, 38 : 711 - 739
[3] bmo ρ (ω) spaces and Riesz transforms associated to Schrodinger operators
Zhu, Hua
Zhang, Qian
[J]. SCIENCE CHINA-MATHEMATICS, 2016, 59 (10) : 1995 - 2018
[4] On weighted compactness of variation operators of commutators of Riesz transforms in the Schrodinger setting
Zhang, Qian
Tang, Lin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (01)
[5] Riesz transforms related to Schrodinger operators acting on BMO type spaces
Bongioanni, B.
Harboure, E.
Salinas, O.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (01) : 115 - 131
[6] BMO-type estimates of Riesz transforms associated with generalized Schrodinger operators
Liu, Yu
Qi, Shuai
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (03) : 401 - 411
[7] Variation Operators On Weighted Hardy and BMO Spaces in the Schrodinger Setting
Zhang, Qian
Tang, Lin
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) : 2285 - 2312
[8] Riesz Transforms of Schrodinger Operators on Manifolds
Assaad, Joyce
Ouhabaz, El Maati
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2012, 22 (04) : 1108 - 1136
[9] Boundedness of second-order Riesz transforms on weighted Hardy and BMO spaces associated with Schrodinger operators
Nguyen Ngoc Trong
Le Xuan Truong
Tan Duc Do
[J]. COMPTES RENDUS MATHEMATIQUE, 2021, 359 (06) : 687 - 717
[10] Commutators of Riesz transforms of magnetic Schrodinger operators
Duong, Xuan Thinh
Yan, Lixin
[J]. MANUSCRIPTA MATHEMATICA, 2008, 127 (02) : 219 - 234

← 1 2 3 4 5 →