BMO functions and balayage of Carleson measures in the Bessel setting

被引：0

作者：

Almeida, Victor ^{[1
]}

Betancor, Jorge J. ^{[1
]}

Castro, Alejandro J. ^{[2
]}

Farina, Juan C. ^{[1
]}

Rodriguez-Mesa, Lourdes ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, Campus Anchieta,Avda Astrofis Sanchez, San Cristobal la Laguna 38721, Santa Cruz De T, Spain

[2] Nazarbayev Univ, Dept Math, Astana 010000, Kazakhstan

来源：

REVISTA MATEMATICA COMPLUTENSE | 2019年 / 32卷 / 01期

关键词：

Bessel operators; BMO functions; Carleson measure; Balayage; HARDY-SPACES; SCHRODINGER-OPERATORS; POISSON INTEGRALS; HANKEL; COMMUTATORS;

D O I：

10.1007/s13163-018-0270-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By BMOo(R) we denote the space consisting of all those odd and bounded mean oscillation functions on R. In this paper we characterize the functions in BMOo(R) with bounded support as those ones that can be written as a sum of a bounded function on (0,) plus the balayage of a Carleson measure on (0,)x(0,) with respect to the Poisson semigroup associated with the Bessel operator B. := - x -. d dx x2. d dx x -.,.> 0. This result can be seen as an extension to Bessel setting of a classical result due to Carleson.

引用

页码：57 / 98

页数：42

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