Title : ( On the Function Spaces Related to Homogenious Spaces )
Authors: Rajab Ali Kamyabi Gol , N. Tavallaei ,
Full TextAbstract
Let G be a locally compact topological group and H be one of its closed subgroups. Also, let frac{G}{H} possesses a relatively invariant Radon measure mu. We offer a construction of a left Banach L^1(G) module to the Banach space oh $mu$ measurable complex valued functions on G/H whose pthe powers are integrable. We investigate some properties of these spaces and show that it has a left approximate identity as a left Banach L^1(G) module , where 1 leq p<+ infty.
Keywords
, homogeneous space, rho-function, strongly quasi-invariant measure, convolution, Banach left module
@inproceedings{paperid:1014367,
author = {Kamyabi Gol, Rajab Ali and N. Tavallaei},
title = {On the Function Spaces Related to Homogenious Spaces},
booktitle = {هیجدهمین سمینار آنالیز و کاربردهای آن},
year = {2009},
location = {تهران, IRAN},
keywords = {homogeneous space;
rho-function; strongly quasi-invariant measure; convolution; Banach left module},
}
%0 Conference Proceedings
%T On the Function Spaces Related to Homogenious Spaces
%A Kamyabi Gol, Rajab Ali
%A N. Tavallaei
%J هیجدهمین سمینار آنالیز و کاربردهای آن
%D 2009
