The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces

By J. Xu. 2008

49 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/86a887fdf47945c003dbeae96f5ca7093a87a4a2

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Ciqiang Zhuo
4. Jun Liu
5. Yoshihiro Sawano
6. P. Hasto
7. Jingshi Xu
8. Alexandre Almeida

Citations in the corpus

• VARIABLE BESOV AND TRIEBEL-LIZORKIN SPACES (2008, background): “These spaces are special cases covered by those of this paper, for the proof, see [ 25 ].”
• FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION – (2014, unknown): “Remark that much was done by Xu [219, 220, 221, 222] (2008, 2008, 2009, 2012) when q(·) = q is a constant.”
• Besov spaces with variable smoothness and integrability (2010, background): “There was taken a step further by Xu [44, 45, 46], who considered Besov B p(·), q and Triebel–Lizorkin F α p(·), q spaces with variable p, but fixed q and α.”
• An atomic decomposition of variable Besov and Triebel-Lizorkin spaces (2009, background): “Then in [28], the author proved that if p(·) ∈ B(R) then the variable Bessel potential 2”
• Triebel-Lizorkin-Type Spaces with Variable Exponents (2015, background): “Later, Xu [73, 74, 75] studied Besov spaces B p(·),q(R ) and Triebel-Lizorkin spaces F s p(·),q(R ) with the variable exponent p(·) but invariable exponents q and s.”
• Besov-Type Spaces with Variable Smoothness and Integrability (2015, background): “Along a different line of study, Xu [66, 67] studied Besov spaces B p(·),q(R ) and Triebel-Lizorkin spaces F s p(·),q(R ) with variable exponent p(·) but fixed q and s.”
• Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “For more developments of function spaces with variable exponents, we refer the reader to [6, 26, 44, 57, 58, 75, 76, 77, 78, 82] and their references.”
• Function spaces of variable smoothness and integrability (2007, background): “Hardy spaces have thus far not 1After the completion of this paper we learned that Xu [56, 57] has studied Besov and Triebel–Lizorkin spaces with variablep, but fixesq andα.”