Using the methods of differential subordination and superordination, sufficient conditions on the integral operator of meromorphic functions in the punctured unit disk for obtaining, respectively, the best dominant and the best subordinant are determined. New Sandwichtype results are also obtained.
Subordination and superordination properties for a class of integral operators
✍ Scribed by Nak Eun Cho; Teodor Bulboacǎ
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 184 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
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📜 SIMILAR VOLUMES
In this paper we develop elements of the global calculus of Fourier integral operators in R n under minimal decay assumptions on phases and amplitudes. We also establish global weighted Sobolev L 2 estimates for a class of Fourier integral operators that appears in the analysis of global smoothing p
## Abstract Let __H__(U) be the space of all analytic functions in the unit disk U, and let co__E__ denote the convex hull of the set __E__ ⊂ ℂ. If __K__ ⊂ __H__(U) then the operator I : __K__ → __H__(U) is said to be an __averaging operator__ if For a function __h__ ∈ __A__ ⊂ __H__(U) we will det