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1

A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L²-estimates for the ∂̅-operator

100%

Błocki Z.

Annales Polonici Mathematici

|

2004

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tom 84

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nr 1

87-91

EN

We give upper and lower bounds for constants appearing in the L²-estimates for the ∂̅-operator due to Donnelly-Fefferman and Berndtsson.

2

Singular sets of separately analytic functions

100%

Błocki Z.

Annales Polonici Mathematici

|

1991-1992

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tom 56

|

nr 2

219-225

EN

We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.

3

A constant in pluripotential theory

100%

Błocki Z.

Annales Polonici Mathematici

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1991-1992

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tom 56

|

nr 2

213-217

EN

We compute the constant sup { $(1/degP)(max_S log|P| - ∫_S log|P|dσ)$ : P a polynomial in $ℂ^n$}, where S denotes the euclidean unit sphere in $ℂ^n$ and σ its unitary surface measure.

4

On the product property for the transfinite diameter

51%

Błocki Z., Edigarian A., Siciak J.

Annales Polonici Mathematici

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2011

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tom 101

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nr 3

209-214

EN

We give a pluripotential-theoretic proof of the product property for the transfinite diameter originally shown by Bloom and Calvi. The main tool is the Rumely formula expressing the transfinite diameter in terms of the global extremal function.

Ograniczanie wyników

4 Annales Polonici Mathematici

4 Błocki Z.

1 Edigarian A.

1 Siciak J.

1 2011

1 2004

2 1992

A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L²-estimates for the ∂̅-operator

Singular sets of separately analytic functions

A constant in pluripotential theory

On the product property for the transfinite diameter