Concrete Operators (Nov 2023)
Generalized Hausdorff operator on Bergmann spaces
Abstract
In this article, we considered the generalized Hausdorff operator ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ\phi and aa so that the operator is bounded. In addition, we studied the action of the Hausdorff operator on the truncated domain to estimate norm ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} and established a relation with quasi-Hausdorff operator on Bergmann space.
Keywords