Criteria for the Boundedness and Compactness of Operators with Power-Logarithmic Kernels |
| |
| Authors: | V. Kokilashvili A. Meskhi |
| |
| Affiliation: | (1) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, M. Aleksidze St. 1, Tbilisi 380093, Georgia |
| |
| Abstract: | In the present work, necessary and sufficient conditions are given in terms of a nonnegative Borel measure  which ensure the boundedness and compactness of operators with power-logarithmic kernels from Lp(0, a) to Lp(0, a) (or to Lq (0, a)), where 0 < a   < , 1 < p, q < ,  > 1/p and   0. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
