A. Perala

collaborators

4 papers

math.CV2018

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…

math.CV2018

Weighted integrability of polyharmonic functions in the higher dimensional case

Congwen Liu, Antti Perala, Jiajia Si

This paper is concerned with the $L^{p}$ integrability of $N$ -harmonic functions with respect to the standard weights $(1 - ∣ x ∣^{2})^{α}$ on the unit ball $B$ of $R^{n}$ , $…

math.FA2018

A Toeplitz type operator on Hardy spaces in the unit ball

Jordi Pau, Antti Perälä

We study a Toeplitz type operator $Q_{μ}$ between the holomorphic Hardy spaces $H^{p}$ and $H^{q}$ of the unit ball. Here the generating symbol $μ$ is assumed to a positive Borel measure…

math.CV2018

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…