Paper Information

Title: 

ON THE FUNCTION SPACES RELATED TO HOMOGENEOUS SPACES

Type: SPEECH
Author(s): KAMYABI GOL R.A.,TAVALAEI N.*
 
 *DEPARTMENT OF MATHEMATICS, DAMGHAN UNIVERSITY OF BASIC SCIENCES
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

We consider a locally compact group G with a closed subgroup H for which G/H possesses a relatively invariant Radon measure μ. For each 1£p£+¥, we offer a construction of a left Banach L1(G)-module to the Banach space of m-measurable complex-valued functions on G/H whose pth powers are integrable. We investigate some properties of theses spaces and show that it has a left approximate identity as a left Banach L1(G)- module, where 1£p<+¥.

 
Keyword(s): HOMOGENEOUS SPACE, RHO-FUNCTION, STRONGLY QUASIINVARIANT MEASURE, RELATIVELY INVARIANT MEASURE, BANACH LEFT MODULE
 
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