7 citations · 8 across the 5 of their papers we have counts for
7 papers
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per Åhag, Rafał Czyż, Antti Perälä +1
Let be a complex Hilbert space and let be a domain. In infinite dimensions, there is no canonical complex Monge--Ampère operator and no basis-free determinant of t…
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…
Essential positivity
A. Perälä, J. A. Virtanen
We define essentially positive operators on Hilbert space as a class of self-adjoint operators whose essential spectra is contained in the nonnegative real numbers and describe the…
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…