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
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fr...
This paper is devoted to a new class of general weighted Hardy-type inequalities for arbitrary conve...
In this article we prove that the fractional integral operator associated to the Schrödinger second ...
AbstractThe paper is devoted to integral inequalities for fractional derivatives within the weighted...
We prove a weighted version of the Hardy-Littlewood-So- bolev inequality for radially symmetric fun...
none2siWe prove a weighted fractional inequality involving the solution u of a nonlocal semilinear p...
Weighted fractional Poincare-type inequalities are proved on John domains whenever the weights defin...
summary:We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional inte...
© 2017, Pleiades Publishing, Ltd. We prove new Hardy type inequalities for Riemann–Liouville fractio...
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss i...
Abstract We study weak-type (1, 1) weighted inequalities for the fractional integral operator I α . ...
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fr...
AbstractAn integral condition on weights u and v is given which is equivalent to the boundedness of ...
The relationship between the operator norms of fractional integral operators acting on weighted Leb...
AbstractWe prove a sharp Hardy inequality for fractional integrals for functions that are supported ...
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fr...
This paper is devoted to a new class of general weighted Hardy-type inequalities for arbitrary conve...
In this article we prove that the fractional integral operator associated to the Schrödinger second ...
AbstractThe paper is devoted to integral inequalities for fractional derivatives within the weighted...
We prove a weighted version of the Hardy-Littlewood-So- bolev inequality for radially symmetric fun...
none2siWe prove a weighted fractional inequality involving the solution u of a nonlocal semilinear p...
Weighted fractional Poincare-type inequalities are proved on John domains whenever the weights defin...
summary:We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional inte...
© 2017, Pleiades Publishing, Ltd. We prove new Hardy type inequalities for Riemann–Liouville fractio...
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss i...
Abstract We study weak-type (1, 1) weighted inequalities for the fractional integral operator I α . ...
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fr...
AbstractAn integral condition on weights u and v is given which is equivalent to the boundedness of ...
The relationship between the operator norms of fractional integral operators acting on weighted Leb...
AbstractWe prove a sharp Hardy inequality for fractional integrals for functions that are supported ...
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fr...
This paper is devoted to a new class of general weighted Hardy-type inequalities for arbitrary conve...
In this article we prove that the fractional integral operator associated to the Schrödinger second ...