Imbedding potentials in tent spaces

被引：13

作者：

Cascante, C ^{[1
]}

Ortega, JM ^{[1
]}

机构：

[1] Univ Barcelona, Fac Matemat, Dept Matemat Aplicada & Anal, Barcelona 08071, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 198卷 / 01期

关键词：

Hardy-Sobolev; multipliers; tent spaces;

D O I：

10.1016/S0022-1236(02)00087-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain characterizations of positive Borel measures mu on B-n so that the nonisotropic potential space K-alpha[L-p(dsigma)] is imbedded in the tent space T-2(q)(dmu), where 1 <p, q< + infinity. We deduce characterizations for pointwise multipliers of the space H-alpha(p). (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：106 / 141

页数：36

共 23 条

[1]

ADAMS DR, 1996, FUNCTION SPACES POTE

[2]

AHERN P, 1989, INDIANA MATH J, V39, P417

[3]

AMAR E, 1979, B SOC MATH FR, V107, P23

[4] INTERPOLATING SEQUENCES AND SEPARATION PROPERTIES [J].

CARLESON, L ;

GARNETT, J .

JOURNAL D ANALYSE MATHEMATIQUE, 1975, 28 :273-299

[5] Carleson measures on spaces of Hardy-Sobolev type [J].

Cascante, C ;

Ortega, JM .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1995, 47 (06) :1177-1200

[6] TANGENTIAL-EXCEPTIONAL SETS FOR HARDY-SOBOLEV SPACES [J].

CASCANTE, C ;

ORTEGA, JM .

ILLINOIS JOURNAL OF MATHEMATICS, 1995, 39 (01) :68-85

[7] On q-Carleson measures for spaces of M-harmonic functions [J].

Cascante, C ;

Ortega, JM .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1997, 49 (04) :653-674

[8] Trace inequalities of Sobolev type in the upper triangle case [J].

Cascante, C ;

Ortega, JM ;

Verbitsky, IE .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 80 :391-414

[9]

Cascante C, 2001, MATH NACHR, V228, P85, DOI 10.1002/1522-2616(200108)228:1<85::AID-MANA85>3.0.CO

[10]

2-D

← 1 2 3 →