Weighted derivative and differential equations.
Weighted diffeomorphism groups of Banach spaces and weighted mapping groups [Book]
Weighted endpoint estimates for commutators of fractional integrals
Given , , and , we give sufficient conditions on weights for the commutator of the fractional integral operator, , to satisfy weighted endpoint inequalities on and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on .
Weighted estimates for the Hankel-, - and - transformations
We give conditions on pairs of non-negative functions and which are sufficient that, for ,
Weighted estimates for the integral operators with monotone kernel on a half-axis.
Weighted exponential inequalities.
Weighted extended mean values
The author generalizes Stolarsky's Extended Mean Values to a four-parameter family of means F(r,s;a,b;x,y) = E(r,s;ax,by)/E(r,s;a,b) and investigates their monotonicity properties.
Weighted Friedrichs inequalities in amalgams
Weighted function spaces of fractional derivatives for vector fields.
Weighted generalized weak type inequalities for modified Hardy operators.
Weighted geometric mean inequalities over cones in .
Weighted Hardy inequalities and Hardy transforms of weights
Many problems in analysis are described as weighted norm inequalities that have given rise to different classes of weights, such as -weights of Muckenhoupt and -weights of Ariño and Muckenhoupt. Our purpose is to show that different classes of weights are related by means of composition with classical transforms. A typical example is the family of weights w for which the Hardy transform is -bounded. A -weight is precisely one for which its Hardy transform is in , and also a weight whose indefinite...
Weighted Hardy's inequalities for negative indices.
In the paper we obtain a precise characterization of Hardy type inequalities with weights for the negative indices and the indices between 0 and 1 and establish a duality between these cases.
Weighted Hardy's inequalities with mixed norm II
Weighted inequalities and spectral problems.
Weighted inequalities for Hardy-type operators involving suprema.
Weighted inequalities for monotone and concave functions
Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.
Weighted inequalities for monotone functions.
We give characterizations of weights for which reverse inequalities of the Hölder type for monotone functions are satisfied. Our inequalities with general weights and with sharp constants complement previous results.
Weighted Inequalities for Multilinear Fractional Integral Operators.
Weighted inequalities for potential operators on differential forms.