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Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains

100%

Yang X.

Open Mathematics

2013

tom 11

nr 1

74-84

We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.

A note on the number of zeros of polynomials in an annulus

51%

Yang X., Yi C., Tu J.

Annales Polonici Mathematici

2011

tom 100

nr 1

25-31

Let p(z) be a polynomial of the form $p(z) = ∑_{j=0}^{n} a_{j}z^{j}$, $a_{j} ∈ {-1,1}$. We discuss a sufficient condition for the existence of zeros of p(z) in an annulus {z ∈ ℂ: 1 - c < |z| < 1 + c}, where c > 0 is an absolute constant. This condition is a combination of Carleman's formula and Jensen's formula, which is a new approach in the study of zeros of polynomials.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

2 Yang X.

1 Tu J.

1 Yi C.

1 2013

1 2011

Wyniki wyszukiwania

Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains

A note on the number of zeros of polynomials in an annulus