Weighted inequalities for real-analytic functions in ℝ2
✍ Scribed by Malabika Pramanik
- Book ID
- 105657798
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 919 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1050-6926
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📜 SIMILAR VOLUMES
Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for
The purpose of the present paper is to derive some differential inequalities for certain analytic functions in the open unit disk by appealing to a result obtained by the first author.
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