Mixing and some integro-functional equations |
| |
Authors: | K. Łoskot R. Rudnicki |
| |
Affiliation: | (1) Institute of Mathematics, Silesian University, PL-40-007 Katowice, Poland |
| |
Abstract: | Summary It is proved that the operatorP: L1 (0, ) L1(0, ), given byPg(z) = z/c[g(x)/cx]dx, is completely mixing, i.e.,Png1 0 forg L1(0, ) with g dx = 0. This implies that, forc (0, 1), each continuous and bounded solution of the equationf(x)=0cxf(t)dt/(cx) (x (0, 1]) is constant. |
| |
Keywords: | Primary 45A05 Secondary 45A35 |
本文献已被 SpringerLink 等数据库收录! |
|