Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: integral representation

Sortuj według:

Ogranicz wyniki do:

μ -Hankel operators on Hilbert spaces

Mirotin Adolf, Kuzmenkova Ekaterina

Opuscula Mathematica

2021

Vol. 41, no. 6

881--898

A class of operators is introduced (μ -Hankel operators, μ is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case |μ| = 1 their description in the Hardy space is given. Integral representations of ^-Hankel operators on the unit disk and on the Semi-Axis are also considered.

On weighted harmonic Bergman spaces

Petrosyan A.

Demonstratio Mathematica

2008

Vol. 41, nr 1

73-83

This paper is devoted to the investigation of the weighted Bergman harmonic spaces bp/alpha(B] in the unit ball in Rn. The reproducing kernel Ralpha for the ball is constructed and the integral representation for functions in bp/alpha(B) by means of this kernel is obtained. Besides an linear mapping between the bp/alpha(B) spaces and the ordinary L2-space on the unit sphere, which has an explicit form of integral operator along with its inversion, is established.