scholarly journals 2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability

2009 ◽  
Vol 22 (1) ◽  
Author(s):  
Henning Kempka
Keyword(s):  
Variable Integrability

Weak Triebel–Lizorkin Spaces with Variable Integrability, Summability and Smoothness

2019 ◽  
Vol 55 (2) ◽  
pp. 259-282 ◽  
Author(s):  
Wenchang Li ◽  
Jingshi Xu
Keyword(s):  
Variable Integrability

On trace spaces of 2-microlocal Besov spaces with variable integrability

2013 ◽  
Vol 286 (11-12) ◽  
pp. 1240-1254 ◽  
Author(s):  
Susana D. Moura ◽  
Júlio S. Neves ◽  
Cornelia Schneider
Keyword(s):  
Besov Spaces ◽  
Trace Spaces ◽  
Variable Integrability

Differential Operators on Spaces of Variable Integrability

10.1142/9124 ◽  
2014 ◽  
Author(s):  
David E Edmunds ◽  
Jan Lang ◽  
Osvaldo Méndez
Keyword(s):  
Differential Operators ◽  
Variable Integrability

scholarly journals Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 708 ◽  
Author(s):  
Mostafa Bachar ◽  
Osvaldo Mendez ◽  
Messaoud Bounkhel
Keyword(s):  
Fixed Point ◽  
Lebesgue Space ◽  
Variable Exponent ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Uniform Convexity ◽  
Convexity Property ◽  
Lebesgue Spaces ◽  
Central Result ◽  
Variable Integrability

We analyze the modular geometry of the Lebesgue space with variable exponent, L p ( · ) . Our central result is that L p ( · ) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case sup x ∈ Ω p ( x ) = ∞ . We present specific applications to fixed point theory.

scholarly journals Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

2018 ◽  
Author(s):  
Mostafa Bachar ◽  
Osvaldo Mendez ◽  
Messaoud Bounkhel
Keyword(s):  
Fixed Point ◽  
Lebesgue Space ◽  
Variable Exponent ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Uniform Convexity ◽  
Convexity Property ◽  
Lebesgue Spaces ◽  
Variable Exponent Lebesgue Space ◽  
Variable Integrability

We analyze the modular geometry of the variable exponent Lebesgue space Lp(.). We show that Lp(.) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case supp(x) = ∞ . We present specific applications to fixed point theory. xÆΩ

Completeness and separability of the spaces of variable integrability and summability

2021 ◽  
pp. 1
Author(s):  
Arash Ghorbanalizadeh ◽  
Przemysław Górka
Keyword(s):  
Variable Integrability

scholarly journals A note on the spaces of variable integrability and summability of Almeida and Hästö

2013 ◽  
Vol 141 (9) ◽  
pp. 3207-3212 ◽  
Author(s):  
Henning Kempka ◽  
Jan Vybíral
Keyword(s):  
Variable Integrability
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