AbstractThe paper is devoted to integral inequalities for fractional derivatives within the weighted L2 setting. We obtain a necessary and sufficient condition for the operator (−Δ)λ in Rn, 0<λ<n/2, to possess the weighted positivity property where the weight is the fundamental solution of the operator. The best constants in a two parameter family of Hardy–Rellich type inequalities are found. Some other related inequalities are studied
The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and...
© 2019, Springer Science+Business Media, LLC, part of Springer Nature. New inequalities for fraction...
Abstract In this paper we prove a two weighted inequality for Riesz potentials I α , γ f $I_{\alpha,...
AbstractThe paper is devoted to integral inequalities for fractional derivatives within the weighted...
A weighted theory for multilinear fractional integral operators and maximal functions is presented. ...
Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have r...
In this article, we establish some new weighted Hardy-type inequalities involving some variants of e...
This paper considers the modified fractional integral operators involving the Gauss hy-pergeometric ...
summary:We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional inte...
The relationship between the operator norms of fractional integral operators acting on weighted Lebe...
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 Lebe...
Abstract. The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operato...
AbstractThe relationship between the operator norms of fractional integral operators acting on weigh...
New su±cient conditions on the weight functions u(:) and v(:) are given in order that the fractional...
The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and...
© 2019, Springer Science+Business Media, LLC, part of Springer Nature. New inequalities for fraction...
Abstract In this paper we prove a two weighted inequality for Riesz potentials I α , γ f $I_{\alpha,...
AbstractThe paper is devoted to integral inequalities for fractional derivatives within the weighted...
A weighted theory for multilinear fractional integral operators and maximal functions is presented. ...
Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have r...
In this article, we establish some new weighted Hardy-type inequalities involving some variants of e...
This paper considers the modified fractional integral operators involving the Gauss hy-pergeometric ...
summary:We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional inte...
The relationship between the operator norms of fractional integral operators acting on weighted Lebe...
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 Lebe...
Abstract. The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operato...
AbstractThe relationship between the operator norms of fractional integral operators acting on weigh...
New su±cient conditions on the weight functions u(:) and v(:) are given in order that the fractional...
The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and...
© 2019, Springer Science+Business Media, LLC, part of Springer Nature. New inequalities for fraction...
Abstract In this paper we prove a two weighted inequality for Riesz potentials I α , γ f $I_{\alpha,...
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