Derivative-free characterizations of QK spaces

Hasi Wulan; Kehe Zhu

doi:10.1017/s1446788700016086

Derivative-free characterizations of Q_K spaces

Hasi Wulan
, Kehe Zhu

Mathematics and Statistics

University at Albany

Shantou University

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We give two characterizations of the Möbius invariant Q_K spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both characterizations avoid the use of derivatives. Our results are new even in the case of Q_p spaces.

Original language	English
Pages (from-to)	283-295
Number of pages	13
Journal	Journal of the Australian Mathematical Society
Volume	82
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700016086
State	Published - Apr 2007

Access to Document

10.1017/s1446788700016086

Cite this

@article{7d57a9a8339e4081bc015ff24474901a,

title = "Derivative-free characterizations of QK spaces",

abstract = "We give two characterizations of the M{\"o}bius invariant QK spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both characterizations avoid the use of derivatives. Our results are new even in the case of Qp spaces.",

author = "Hasi Wulan and Kehe Zhu",

year = "2007",

month = apr,

doi = "10.1017/s1446788700016086",

language = "English",

volume = "82",

pages = "283--295",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-7887",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Derivative-free characterizations of QK spaces

AU - Wulan, Hasi

AU - Zhu, Kehe

PY - 2007/4

Y1 - 2007/4

N2 - We give two characterizations of the Möbius invariant QK spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both characterizations avoid the use of derivatives. Our results are new even in the case of Qp spaces.

AB - We give two characterizations of the Möbius invariant QK spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both characterizations avoid the use of derivatives. Our results are new even in the case of Qp spaces.

UR - https://www.scopus.com/pages/publications/34249901568

U2 - 10.1017/s1446788700016086

DO - 10.1017/s1446788700016086

M3 - Article

SN - 1446-7887

VL - 82

SP - 283

EP - 295

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 2

ER -

Derivative-free characterizations of Q_K spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this