activity
20042023
most citedWeighted inequalities for quasilinear integral operators on the semiaxis and application to the Lorentz spaces

13 citations · 13 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2023

On the associated spaces of the Hardy space

Dmitrii V. Prokhorov

Characterizations of the associated spaces and second associated spaces of the Hardy space on are given. Some results on the associated spaces of the $\textrm{BMO}(\…

math.FA2022

On the associated spaces for the weighted altered Cesàro space Ch

Dmitrii V. Prokhorov

We study weigted altered Cesàro space Ch, which is non-ideal enlargement of the usual Cesàro space. We prove the connection of the space with one weighted Sobolev s…

math.FA2022

On the dual spaces for weighted altered Cesàro and Copson spaces

Dmitrii V. Prokhorov

We study weighted altered Cesàro and Copson spaces, which is non-ideal enlargement of the usual spaces. We give full characterization of dual spaces for the spaces.

math.FA2018

On the subspace of the space, which is an annihilator of an element not belonging to the dual space

Dmitrii Prokhorov

Let be a Lebesgue measurable subset of , . We consider the subspace , which is an annihilator of the Lebesgue measurable ${{\ca…

math.FA2016★ 13 cited

Weighted inequalities for quasilinear integral operators on the semiaxis and application to the Lorentz spaces

Dmitrii V. Prokhorov, Vladimir D. Stepanov

Weighted inequalities with arbitrary measurable non-negative weights for positive quasilinear integral operators with Oinarov's kernel on the semiaxis are characterized.…

math.CV2004

Optimal control in Bombieri's and Tammi's conjectures

Dmitri Prokhorov, Alexander Vasil'ev

Let stand for the usual class of univalent regular functions in the unit disk normalized by in , and let be its subclass defined b…