scholarly journals Higher-order Asymptotic Formulas for Toeplitz Matrices with Symbols in Generalized Hölder Spaces

2008 ◽  
pp. 207-228
Author(s):  
Alexei Yu. Karlovich
Keyword(s):  
Toeplitz Matrices ◽  
Higher Order ◽  
Asymptotic Formulas ◽  
Hölder Spaces ◽  
Holder Spaces

Tangential derivatives and higher-order regularizing properties of the double layer heat potential

Analysis ◽  
2019 ◽  
Vol 38 (4) ◽  
pp. 167-193 ◽  
Author(s):  
Massimo Lanza de Cristoforis ◽  
Paolo Luzzini
Keyword(s):  
Integral Operator ◽  
Explicit Formula ◽  
Double Layer ◽  
Higher Order ◽  
Time Variable ◽  
High Order ◽  
Hölder Spaces ◽  
Heat Potential ◽  
Holder Spaces ◽  
Derivatives Of

Abstract We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.

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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