scholarly journals Operators of Volterra convolution type in generalized Holder spaces

2020 ◽  
Vol 7 (2) ◽  
pp. 275-288
Author(s):  
Tulkin Mamatov
Keyword(s):  
Convolution Type ◽  
Hölder Spaces ◽  
Holder Spaces

scholarly journals Fractional Type Operators in Weighted Generalized Hölder Spaces

1994 ◽  
Vol 1 (5) ◽  
pp. 537-559
Author(s):  
S. G. Samko ◽  
Z. U. Mussalaeva
Keyword(s):  
Convolution Type ◽  
Fractional Integrals ◽  
Hölder Spaces ◽  
Continuity Modulus ◽  
Type Spaces ◽  
Holder Spaces ◽  
Fractional Type

Abstract Weighted Zygmund type estimates are obtained for the continuity modulus of some convolution type integrals. In the case of fractional integrals this is strengthened to a result on isomorphism between certain weighted generalized Hölder type 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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