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
A weighted theory for multilinear fractional integral operators and maximal functions is presented. ...
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Fo...
We derive some necessary and su±cient conditions for the boundedness of fractional integral operator...
In this paper we study inequalities with weights for fractional operators Tαgiven by convolution wit...
The relationship between the operator norms of fractional integral operators acting on weighted Leb...
summary:In this work we give sufficient and necessary conditions for the boundedness of the fraction...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
This paper considers the modified fractional integral operators involving the Gauss hy-pergeometric ...
We consider non-standard Holder spaces H(lambda(.))(X) of functions f on a metric measure space (X, ...
We consider non-standard Hölder spaces Hλ(·)(X) of functions f on a metric measure space (X, d, µ),...
In this work we give sufficient and necessary conditions for the boundednessof the fractional integr...
MSC 2010: 26A33We study mixed Riemann-Liouville integrals of functions of two variables in Hölder sp...
AbstractIn the present paper the authors derive a number of interesting expressions for the composit...
The Muckenhoupt-Wheeden conjecture is disproved for fractional integral operator. Both the strong (p...
In this work we consider various fractional operators, including the classical fractional integral o...
A weighted theory for multilinear fractional integral operators and maximal functions is presented. ...
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Fo...
We derive some necessary and su±cient conditions for the boundedness of fractional integral operator...
In this paper we study inequalities with weights for fractional operators Tαgiven by convolution wit...
The relationship between the operator norms of fractional integral operators acting on weighted Leb...
summary:In this work we give sufficient and necessary conditions for the boundedness of the fraction...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
This paper considers the modified fractional integral operators involving the Gauss hy-pergeometric ...
We consider non-standard Holder spaces H(lambda(.))(X) of functions f on a metric measure space (X, ...
We consider non-standard Hölder spaces Hλ(·)(X) of functions f on a metric measure space (X, d, µ),...
In this work we give sufficient and necessary conditions for the boundednessof the fractional integr...
MSC 2010: 26A33We study mixed Riemann-Liouville integrals of functions of two variables in Hölder sp...
AbstractIn the present paper the authors derive a number of interesting expressions for the composit...
The Muckenhoupt-Wheeden conjecture is disproved for fractional integral operator. Both the strong (p...
In this work we consider various fractional operators, including the classical fractional integral o...
A weighted theory for multilinear fractional integral operators and maximal functions is presented. ...
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Fo...
We derive some necessary and su±cient conditions for the boundedness of fractional integral operator...