Sobolev type spaces associated with the q-Rubin's operator

Authors

  • Neji Bettaibi Faculté des Sciences de Gabès
  • M. Mokhtar Chaffar Faculté des Sciences de Gabès
  • Ahmed Fitouhi Faculté des Sciences de Tunis

Abstract

In this paper we introduce and   study   some $q$-Sobolev type spaces by using the harmonic analysis associated with the q-Rubin operator. In particular, embedding theorems for these spaces are established.  Next, we introduce the q-Rubin potential spaces and study some of its properties.

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Published

2014-05-12

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Section

Articoli