Integral inequalities for conjugate harmonic functions
β Scribed by A. K. Ryabogin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1982
- Tongue
- English
- Weight
- 291 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We establish __L^p^__βestimates for the projection operator acted on conjugate __A__βharmonic tensors. These estimates can be considered as analogues of the PoincarΓ© inequality for the projection operator.
Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
A survey is given of sharp forms of some classical inequalities for the conjugate function.
We define pluriharmonic conjugate functions on the unit ball of n . Then we show that for a weight there exist weighted norm inequalities for pluriharmonic conjugate functions on L p if and only if the weight satisfies the A p -condition. As an application, we prove the equivalence of the weighted n