In this paper we prove the A -weighted Caccioppoli-type inequality and weak r Ž . reverse Holder inequality for A-harmonic tensors. We also obtain the A -¨r weighted Hardy᎐Littlewood inequality for conjugate A-harmonic tensors. These inequalities can be considered as extensions of the classical resu
Weighted Norm Inequalities for ConjugateA-Harmonic Tensors
✍ Scribed by Shusen Ding; Yi Ling
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 151 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
We prove weighted normal inequalities for conjugate A-harmonic tensors in John domains which can be considered as generalizations of the Hardy and Littlewood theorem for conjugate harmonic functions.
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## Abstract We establish __L^p^__‐estimates for the projection operator acted on conjugate __A__‐harmonic tensors. These estimates can be considered as analogues of the Poincaré inequality for the projection operator.
## Abstract We give a condition which is sufficient for the two‐weight (__p__, __q__) inequalities for multilinear potential type integral operators, where 1 < __p__ ≤ __q__ < ∞. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)