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.
-weighted inequalities for A-harmonic tensors and related operators
β Scribed by Shusen Ding; Yuming Xing; Gejun Bao
- Book ID
- 108175308
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 147 KB
- Volume
- 322
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper we prove the A -weighted Caccioppoli-type inequality and weak r Ε½ . reverse Holder inequality for A-harmonic tensors. We also obtain the A -Β¨r weighted HardyαLittlewood inequality for conjugate A-harmonic tensors. These inequalities can be considered as extensions of the classical resu
## Abstract For 1 < __p__ < β, the almost surely finiteness of $ E \left(v ^{- {p^{\prime} \over p}} \vert {\cal F}\_{1} \right) $ is a necessary and sufficient condition in order to have almost surely convergence of the sequences {__E__(__f__|β±~__n__~)} with __f__ β __L__^__p__^(__v dP__). This co