Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Collection
For ¥0.57 per day, unlimited downloads CREATE MEMBERSHIP Download

toTop

If you have any feedback, Please follow the official account to submit feedback.

Turn on your phone and scan

home > search >

Structural transition between $L^{p}(G)$ and $L^{p}(G/H)$

Author:
Tavallaei, Narguess   Ramezanpour, Mohammad   Olfatian Gillan, Behrooz  


Journal:
Banach Journal of Mathematical Analysis


Issue Date:
2015


Abstract(summary):

Let H be a compact subgroup of a locally compact group G. We consider the homogeneous space G/H equipped with a strongly quasi-invariant Radon measure mu. For 1 <= p <= +infinity, we introduce a norm decreasing linear map from L-p(G) onto L-p(G/H, mu) and show that L-p(G/H, mu) may be identified with a quotient space of L-p(G). Also, we prove that L-p(G/H, mu) is isometrically isomorphic to a closed subspace of L-p(G). These help us study the structure of the classical Banach spaces constructed on a homogeneous space via those created on topological groups.


Page:
194-205


VIEW PDF

The preview is over

If you wish to continue, please create your membership or download this.

Create Membership

Similar Literature

Submit Feedback

This function is a member function, members do not limit the number of downloads