# 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

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topKarapetyants, 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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