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On weighted Hardy spaces on the unit disk

100%

Poletsky E., Shrestha K.

Banach Center Publications

2015

tom 107

nr 1

195-204

In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces $H^p_u$. We also provide a reduction of $H^∞$ problems to $H^p_u$ problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.

Fundamental solutions of the complex Monge-Ampère equation

100%

Celik H., Poletsky E.

Annales Polonici Mathematici

1997

tom 67

nr 2

103-110

We prove that any positive function on ℂℙ¹ which is constant outside a countable $G_δ$-set is the order function of a fundamental solution of the complex Monge-Ampère equation on the unit ball in ℂ² with a singularity at the origin.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

2 Poletsky E.

1 Celik H.

1 Shrestha K.

1 2015

1 1997

Wyniki wyszukiwania

On weighted Hardy spaces on the unit disk

Fundamental solutions of the complex Monge-Ampère equation