4 papers · 1 filter
Hankel forms and measures on weighted Bergman spaces
Setareh Eskandari, Antti Perälä
We characterize the boundedness of Hankel forms and Hankel operators induced by measures on weighted Bergman spaces, where the weights satisfy an upper-doubling condition. We also…
General fractional derivatives and the Bergman projection
Antti Perälä
In this note we study some basic properties of general fractional derivatives induced by weighted Bergman kernels. As an application we demonstrate a method for generating pre-imag…
Weighted integrability of polyharmonic functions in the higher dimensional case
Congwen Liu, Antti Perala, Jiajia Si
This paper is concerned with the integrability of -harmonic functions with respect to the standard weights on the unit ball of , $…
Duality of holomorphic Hardy type tent spaces
Antti Perälä
We study the holomorphic tent spaces $\mathcal{HT}^p_{q,α}(\Bn)$, which are motivated by the area function description of the Hardy spaces on one hand, and the maximal function des…