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

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 -