Bessel potential spaces with variable exponent

By Petr Gurka, Petteri Harjulehto, Ales Nekvinda. 2007

61 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/be2ab60c61ffdb418f53914c0b3529b38e920d57

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In Applied Mathematics

1. Wen Yuan
2. Dachun Yang
3. Ciqiang Zhuo
4. Jan Vyb'iral
5. H. Kempka
6. Yoshihiro Sawano
7. Jingshi Xu
8. Tino Ullrich

In Mathematical Physics

1. Wen Yuan
2. Dachun Yang
3. Ciqiang Zhuo
4. Jan Vyb'iral
5. H. Kempka
6. Jingshi Xu
7. Yoshihiro Sawano
8. Jun Liu

Citations in the corpus

• An atomic decomposition of variable Besov and Triebel-Lizorkin spaces (2009, background): “This result was obtained firstly by Almeida and Samko in [3] and again by Gurka, Harjulehto and Nekvinda in [12].”
• Triebel-Lizorkin-Type Spaces with Variable Exponents (2015, background): “ing and the calculus of variation; see, for example, [1, 2, 3, 11, 21, 25, 59, 60]. To complete the theory of the variable exponent Lebesgue and Sobolev spaces, Almeida and Samko [5] and Gurka et al. [30] introduced and investigated variable exponent Bessel potential spaces Lα,p(·) with variable int”
• 2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability (2009, background): “In that connection, Sobolev spaces with variable exponent have been introduced and studied in detail in [1, 12].”
• SOBOLEV AND JAWERTH EMBEDDINGS FOR SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY (2009, methodology): “[8] Diening, L., P. Hästö, and A. Nekvinda: Open problems in variable exponent Lebesgue and Sobolev spaces.”
• VARIABLE BESOV AND TRIEBEL-LIZORKIN SPACES (2008, background): “Remark 3. Almeida and Samko in [2] and, independently, Gurka, Harjulehto and Nekvinda in [ 12 ] have introduced Bessel potential spaces with variable exponents.”
• Spaces of Variable Smoothness and Integrability: Characterizations by Local Means and Ball Means of Differences (2011, background): “If the smoothness s ∈ R is a constant and p ∈ P log(Rn) with p− > 1, then F s p(·),2(Rn) = Lsp(·)(R) are the variable Bessel potential spaces from [2] and [23] with its special cases F 0 p(·),2(Rn) = Lp(·)(R) and F p(·),2(Rn) = W p(·)(Rn) for k ∈ N0, see [16].”
• Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability (2010, background): “So it was natural, that several extensions in various more advanced function spaces as Bessel potential spaces H p(·) and Besov and Triebel-Lizorkin spaces F s p(·),q(R), B p(·),q(R) were made ([3], [18] and [43]).”