Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω

Karapetyants, Nikolai; Samko, Natasha

Fractional Calculus and Applied Analysis (2004)

  • Volume: 7, Issue: 4, page 437-458
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.

How to cite

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Karapetyants, Nikolai, and Samko, Natasha. "Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω." Fractional Calculus and Applied Analysis 7.4 (2004): 437-458. <http://eudml.org/doc/11263>.

@article{Karapetyants2004,
abstract = {Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.},
author = {Karapetyants, Nikolai, Samko, Natasha},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A16; 26A33; 46E15},
language = {eng},
number = {4},
pages = {437-458},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω},
url = {http://eudml.org/doc/11263},
volume = {7},
year = {2004},
}

TY - JOUR
AU - Karapetyants, Nikolai
AU - Samko, Natasha
TI - Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω
JO - Fractional Calculus and Applied Analysis
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 7
IS - 4
SP - 437
EP - 458
AB - Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.
LA - eng
KW - 26A16; 26A33; 46E15
UR - http://eudml.org/doc/11263
ER -

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