7 citations · 8 across the 5 of their papers we have counts for
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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 , $…
A Toeplitz type operator on Hardy spaces in the unit ball
Jordi Pau, Antti Perälä
We study a Toeplitz type operator between the holomorphic Hardy spaces and of the unit ball. Here the generating symbol is assumed to a positive Borel measure…
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…