Sobolev type spaces associated with the q-Rubin's operator
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.The authors retain all rights to the original work without any restrictions.
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