Pitt-Type Inquality For p>q With GM-Condition
In this paper, we examine the results of the Pitt type for the Fourier transform, specifically focusing on scenarios where the parameter p is greater than q. Here, we show that for the Pitt inequality the ’if and only if’ condition established by Saucedo and Tikhonov (The Fourier transform is an ext...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/483515 |
| Acceso en línea: | http://hdl.handle.net/2072/483515 |
| Access Level: | acceso abierto |
| Palabra clave: | Pitt’s inequality Bounded variation General monotone function 51 |
| Sumario: | In this paper, we examine the results of the Pitt type for the Fourier transform, specifically focusing on scenarios where the parameter p is greater than q. Here, we show that for the Pitt inequality the ’if and only if’ condition established by Saucedo and Tikhonov (The Fourier transform is an extremizer of a class of bounded operators, arXiv.2501.17505) can be extended under restriction to the class of GM functions. |
|---|