arXiv subjects

A. ElKachkouri

Publications and source records attributed to A. ElKachkouri.

2 recordsLinked to original sources

arXiv2020

Solid Cauchy transform on weighted poly-Bergman spaces

The so-called weighted solid Cauchy transform, from inside the unit disc into the complement of its closure, is considered and their basic properties such as boundedness is studied for appropriate probability measures. The action the disc polynomials is explicitly computed and used to describe the range of its restriction on the weighted true poly-Bergman spaces.

math.CV↗

arXiv2020

A note on weighted poly-Bergman spaces

We introduce à la Vasilevski the weighted poly-Bergman spaces in the unit disc and provide concrete orthonormal basis and give close expression of their reproducing kernel. The main tool in the description if these spaces is the so-called disc polynomials that form an orthogonal basis of the whole weighted Hilbert space.

math.CV↗