%0 Journal Article
%T Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents
%A Takahiro Noi
%J Mathematics
%D 2014
%I arXiv
%X This paper is concerned with a boundedness of trace and extension operators for Besov spaces and Triebel-Lizorkin spaces on upper half space with variable exponents. To define trace and extension operators, we introduce a quarkonial decomposition for Besov spaces and Triebel-Lizorkin spaces with variable exponents on ${\mathbb R}^n$. Furthermore, we study trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents on upper half spaces ${\mathbb R}^n_+$.
%U http://arxiv.org/abs/1410.1185v1