Some new integral inequalities for conjugate( mathcal{A} )-harmonic tensors
✍ Scribed by Hong-ya Gao; Lan-ru Hou
- Book ID
- 107500821
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2008
- Tongue
- English
- Weight
- 183 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1005-1031
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📜 SIMILAR VOLUMES
## 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.
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
For a bounded domain with connected Lipschitz boundary, we prove the existence of some __c__ > 0, such that urn:x-wiley:1704214:media:mma1534:mma1534-math-0002 holds for all square‐integrable tensor fields , having square‐integrable generalized “rotation” tensor fields and vanishing tangential t