|
|||||
|
|
Weighted norm inequalities for analytic functions |
|
| Authors: | Arcadii Z. Grinshpan |
| Affiliation: | Department of Mathematics, University of South Florida, Tampa, FL 33620, USA |
| Abstract: | We present a weighted norm inequality involving convolutions of arbitrary analytic functions and certain confluent hypergeometric functions. This result implies a family of weighted norm inequalities both for entire functions of exponential type and for (generalized) hypergeometric series. The approach is based on author's general inequality for continuous functions and some hypergeometric transformations. |
| Keywords: | Integral inequalities Convolutions Hadamard product Entire functions of exponential type Borel-associated functions Hypergeometric series Confluent hypergeometric functions Hypergeometric transformations Beta function Gamma function Integral operators |
| 本文献已被 ScienceDirect 等数据库收录！ | |