Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses

File Description SizeFormat 
1510.01251v1.pdfSubmitted version261.24 kBAdobe PDFDownload
Title: Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses
Author(s): Akylzhanov, R
Ruzhansky, M
Item Type: Internet Publication
Abstract: We introduce abstract net spaces on directed sets and prove their embedding and interpolation properties. Typical examples of interest are lattices of irreducible unitary representations of compact Lie groups and of class I representations with respect to a subgroup. As an application, we prove Hardy-Littlewood type inequalities and their converses on compact Lie groups and on compact homogeneous manifolds.
Publication Date: 5-Oct-2015
URI: http://hdl.handle.net/10044/1/27834
Copyright Statement: © 2015 Akylzhanov R, Ruzhansky M
Publication Status: Submitted
Publisher URL: http://arxiv.org/abs/1510.01251v1
Appears in Collections:Mathematics
Faculty of Natural Sciences



Items in Spiral are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commons