Necessary and sufficient conditions on the weight and the measure for the operator to be bounded from to are given. Here and are similarly ordered functions and satisfies a modified GHO condition. Nearly block diagonal decompositions of positive operators are introduced as is the concept of a normalizing measure. An application is made to estimates for the remainder in a Taylor approximation.</p
AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically do...
We give upper and lower estimates of the norm of a bounded linear operator from the Hardy space Hp t...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
Necessary and sufficient conditions on the weight v and the measure a for the operator b(s) k(s, y)f...
First published in Proceedings of the American Mathematical Society in 145 (2017), 2455-246, publish...
Abstract We investigate a new kind of Hardy operator Hμ $H_{\mu}$ with respect to arbitrary positive...
Let beta and gamma be non-negative Borel measures on [0, infty), p,q>0, let Omega be a certain cone ...
This book presents the first comprehensive treatment of the blocking technique which consists in tra...
Characterization of Lv p[0, ∞) - L μ q[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[...
Abstract. Let X be a metric space with doubling measure, and L be a non-negative, self-adjoint opera...
In [13] Muckenhoupt proved the fundamental result characterizing all the weights for which the Hardy...
summary:Let $(X, d, \mu )$ be a metric measure space endowed with a distance $d$ and a nonnegative B...
We study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dualop...
In this paper, we prove some of Rubio de Francia's extrapolation results for the class $ B_p$ of wei...
A new (non-Muckenhoupt type) weight characterization for the boundedness of the general Hardy–Steklo...
AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically do...
We give upper and lower estimates of the norm of a bounded linear operator from the Hardy space Hp t...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
Necessary and sufficient conditions on the weight v and the measure a for the operator b(s) k(s, y)f...
First published in Proceedings of the American Mathematical Society in 145 (2017), 2455-246, publish...
Abstract We investigate a new kind of Hardy operator Hμ $H_{\mu}$ with respect to arbitrary positive...
Let beta and gamma be non-negative Borel measures on [0, infty), p,q>0, let Omega be a certain cone ...
This book presents the first comprehensive treatment of the blocking technique which consists in tra...
Characterization of Lv p[0, ∞) - L μ q[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[...
Abstract. Let X be a metric space with doubling measure, and L be a non-negative, self-adjoint opera...
In [13] Muckenhoupt proved the fundamental result characterizing all the weights for which the Hardy...
summary:Let $(X, d, \mu )$ be a metric measure space endowed with a distance $d$ and a nonnegative B...
We study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dualop...
In this paper, we prove some of Rubio de Francia's extrapolation results for the class $ B_p$ of wei...
A new (non-Muckenhoupt type) weight characterization for the boundedness of the general Hardy–Steklo...
AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically do...
We give upper and lower estimates of the norm of a bounded linear operator from the Hardy space Hp t...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....