Full Text:   <3380>

CLC number: O178

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 1

Clicked: 9581

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.9 P.1148-1154

http://doi.org/10.1631/jzus.2004.1148


The characterization of weighted local hardy spaces on domains and its application


Author(s):  WANG Heng-geng, YANG Xiao-ming

Affiliation(s):  Department of Mathematics, South-China Normal University, Guangzhou 510631, China; more

Corresponding email(s):   yxm1208@163.net

Key Words:  Weighted local hardy space, Atomic characterization, Lipschitz domain


Share this article to: More

WANG Heng-geng, YANG Xiao-ming. The characterization of weighted local hardy spaces on domains and its application[J]. Journal of Zhejiang University Science A, 2004, 5(9): 1148-1154.

@article{title="The characterization of weighted local hardy spaces on domains and its application",
author="WANG Heng-geng, YANG Xiao-ming",
journal="Journal of Zhejiang University Science A",
volume="5",
number="9",
pages="1148-1154",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.1148"
}

%0 Journal Article
%T The characterization of weighted local hardy spaces on domains and its application
%A WANG Heng-geng
%A YANG Xiao-ming
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 9
%P 1148-1154
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.1148

TY - JOUR
T1 - The characterization of weighted local hardy spaces on domains and its application
A1 - WANG Heng-geng
A1 - YANG Xiao-ming
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 9
SP - 1148
EP - 1154
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2004.1148


Abstract: 
In this paper, we give the four equivalent characterizations for the weighted local hardy spaces on lipschitz domains. Also, we give their application for the harmonic function defined in bounded lipschitz domains.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Chang, D.C., Krantz, S.G., Stein, E.M., 1993. Hp theory on a smooth domain in RN and elliptic boundary value problems. J. Funct. Anal., 114:286.

[2] Lee, M.Y., Lin, C.C., 2002. The molecular characterization of weighted Hardy spaces. J. Funct. Anal., 188:442.

[3] Miyachi, A., 1987. Maximal, functions for distributions onopen sets, Hitotsubashi. J. Arts Sci, 28:45.

[4] Miyachi, A., 1990. HP spaces over open subsets of Rn. Studia Math., 905:205.

[5] Semmes, S., 1994. A primer on Hardy spaces, and some remarks on a theorem of Evans and Müller. C.P.D.E., 19(1&2):277.

[6] Stein, E.M., 1979. Singular Intergrals and Differentiablity Properties of Functions. Princeton University Press, Princeton, New Jersey, p.167-171.

[7] Stein, E.M., 1993. Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton Univ. Press, Princeton, New Jersey, p.87-138.

[8] Stromberg, J.O., Torchinsky, A., 1989. Weighted Hardy spaces. Lecture Notes in Mathematics, 1381:111-121.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE