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Weighted Hardy-Littlewood inequality
for $A$-harmonic tensors

Author: Shusen Ding
Journal: Proc. Amer. Math. Soc. 125 (1997), 1727-1735
MSC (1991): Primary 30C65; Secondary 31B05, 58A10
MathSciNet review: 1372027
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Abstract: In this paper we prove a local weighted integral inequality for conjugate $A$-harmonic tensors similar to the Hardy and Littlewood integral inequality for conjugate harmonic functions. Then by using the local weighted integral inequality, we prove a global weighted integral inequality for conjugate $A$-harmonic tensors in John domains.

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Additional Information

Shusen Ding

Keywords: Conjugate harmonic tensors, differential forms and the $A$-harmonic equation
Received by editor(s): May 15, 1995
Received by editor(s) in revised form: December 8, 1995
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1997 American Mathematical Society

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