BMO spaces related to Schrodinger operators with potentials satisfying a reverse Holder inequality

被引：176

作者：

Dziubanski, J

Garrigós, G

Martínez, T

Torrea, JL

Zienkiewicz, J

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2005年 / 249卷 / 02期

关键词：

D O I：

10.1007/s00209-004-0701-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify the dual space of the Hardy-type space H-L(1) related to the time independent Schrodinger operator L = -Delta + V, a potential satisfying a reverse Holder inequality, as a BMO-type space BMOL. We prove the boundedness in this space of the versions of some classical operators associted to L (Hardy-Littlewood, semigroup and Poisson maximal functions, square function, fractional integral operator). We also get a characterization of BMOL in terms of Carlesson measures.

引用

页码：329 / 356

页数：28

共 11 条

[1] WEAK-L INFINITY AND BMO [J].

BENNETT, C ;

DEVORE, RA ;

SHARPLEY, R .

ANNALS OF MATHEMATICS, 1981, 113 (03) :601-611

[2]

Dziubanski J, 1999, REV MAT IBEROAM, V15, P279

[3]

DZIUBANSKI J, IN PRESS C MATH

[4]

Dziubanski J., 2002, Banach Center Publ., V56, P45

[5] LOCAL VERSION OF REAL HARDY SPACES [J].

GOLDBERG, D .

DUKE MATHEMATICAL JOURNAL, 1979, 46 (01) :27-42

[6] An estimate on the heat kernel of magnetic Schrodinger operators and uniformly elliptic operators with non-negative potentials [J].

Kurata, K .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :885-903

[7] L(P) ESTIMATES FOR SCHRODINGER-OPERATORS WITH CERTAIN POTENTIALS [J].

SHEN, ZW .

ANNALES DE L INSTITUT FOURIER, 1995, 45 (02) :513-546

[8]

Stein E., 1970, TOPICS HARMONIC ANAL

[9]

Stein E M., 1993, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals

[10]

STEMPAK K, ENDPOINT RESULTS POI

← 1 2 →