Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents

Takahiro Noi

Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents

Functional Analysis 2014-10-07 v1

Authors: Takahiro Noi

Abstract

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 ${\mathbb R}^n_+$ .

Keywords

trace operator extension operator Besov spaces Triebel-Lizorkin spaces variable exponents quarkonial decomposition upper half space

Cite

@article{arxiv.1410.1185,
  title  = {Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents},
  author = {Takahiro Noi},
  journal= {arXiv preprint arXiv:1410.1185},
  year   = {2014}
}

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