Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents
Noi, Takahiro
Original · EN
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 Rⁿ. Furthermore, we study trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents on upper half spaces Rⁿ+.
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