scholarly journals Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces

2017 ◽  
Vol 370 (7) ◽  
pp. 4709-4730 ◽  
Author(s):  
Gerard Misiołek ◽  
Tsuyoshi Yoneda
Keyword(s):  
Euler Equations ◽  
Besov Spaces ◽  
Hölder Spaces ◽  
Solution Map ◽  
Weak Norm ◽  
Holder Spaces

MIXED FRACTIONAL DIFFERENTIATION OPERATORS IN HÖLDER SPACES DEFINED BY USUAL HÖLDER CONDITION

2019 ◽  
Author(s):  
T. Mamatov ◽  
R. Sabirova ◽  
D. Barakaev
Keyword(s):  
Fractional Derivative ◽  
Fractional Differentiation ◽  
Hölder Condition ◽  
Hölder Spaces ◽  
Main Interest ◽  
Hölder Class ◽  
Holder Class ◽  
Function Of Two Variables ◽  
Holder Spaces

We study mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. The main interest being in the evaluation of the latter for the mixed fractional derivative in the cases Hölder class defined by usual Hölder condition

Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise

2020 ◽  
Vol 490 (1) ◽  
pp. 124237
Author(s):  
Hanna Okrasińska-Płociniczak ◽  
Łukasz Płociniczak ◽  
Juan Rocha ◽  
Kishin Sadarangani
Keyword(s):  
Integral Equation ◽  
Capillary Rise ◽  
Hölder Spaces ◽  
Holder Spaces

On Some Singular Integrals in Hölder Spaces

2006 ◽  
Vol 170 (1) ◽  
pp. 93-100 ◽  
Author(s):  
B. Firlejy ◽  
L. Rempulska
Keyword(s):  
Singular Integrals ◽  
Hölder Spaces ◽  
Holder Spaces
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