Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 3

Lp Regularity of some weighted Bergman projections on the unit disc

Pages
386–394
DOI
—

Abstract

We show that weighted Bergman projections, corresponding to weights of the form M(z)(1-|z|2)\alpha, where a > -1 and M(z) is a radially symmetric, strictly positive and at least C2 function on \overline{D}, are Lp regular.

Özet

We show that weighted Bergman projections, corresponding to weights of the form M(z)(1-|z|2)\alpha, where a > -1 and M(z) is a radially symmetric, strictly positive and at least C2 function on \overline{D}, are Lp regular.

Keywords: Weighted Bergman projection, Coefficient multipliers