Jouni Rattya

collaborators

3 papers

math.FA2025

Bergman projection induced by radial weight

JosÃ© Ãngel PelÃ¡ez, Jouni RÃ¤ttyÃ¤

The question of when the Bergman projection $P_{I ¨} $ induced by a radial weight $I ¨ $ on the unit disc is a bounded operator from one space into another is of primordial importance in…

math.CV2024

Small Hankel operator induced by measurable symbol acting on weighted Bergman spaces

JosÃ© Ãngel PelÃ¡ez, Jouni RÃ¤ttyÃ¤

The boundedness of the small Hankel operator $h^{I ¨} _{f} (g) = P_{I ¨} (f g)$ induced by a measurable symbol $f$ and the Bergman projection $P_{I ¨} $ associated to a radial weight $Ï…

math.CV2024

Carleson measures for weighted Bergman--Zygmund spaces

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee +3

For $0 < p < \infty$ , $I^¨ : [0, \infty) \to (0, \infty)$ and a finite positive Borel measure $I^¼$ on the unit disc $D$ , the Lebesgue--Zygmund space $L_{I^¼, I^¨}^{p}$ consists of all mea…