| Autor: | B. I. Peleshenko |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Mathematics::Functional Analysis
General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Mathematics::Classical Analysis and ODEs Operator theory Equivalence (formal languages) Convolution theorem Convolution power Circular convolution Fourier integral operator Convolution Mathematics |
| Zdroj: | Siberian Mathematical Journal. 42:546-550 |
| ISSN: | 0037-4466 |
| DOI: | 10.1023/a:1010479327687 |
| Popis: | We prove equivalence of sufficient conditions for boundedness of convolution integral operators in rearrangement-invariant spaces which were obtained in the articles of S. G. Kreīn, E. M. Semenov, and the author. The first of these conditions generalizes the Hardy–Littlewood–Sobolev condition and the second is a modification of the Hormander condition. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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