CLC number: O178
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Received: 2003-05-29
Revision Accepted: 2003-12-19
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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.
[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.
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