Wyniki wyszukiwania

1

Wiener's type regularity criteria on the complex plane

100%

Siciak J.

Annales Polonici Mathematici

|

1997

|

tom 66

|

nr 1

203-221

EN

We present a number of Wiener's type necessary and sufficient conditions (in terms of divergence of integrals or series involving a condenser capacity) for a compact set E ⊂ ℂ to be regular with respect to the Dirichlet problem. The same capacity is used to give a simple proof of the following known theorem [2, 6]: If E is a compact subset of ℂ such that $d(t^{-1}E ∩ {|z-a| ≤ 1}) ≥ const > 0$ for 0 < t ≤ 1 and a ∈ E, where d(F) is the logarithmic capacity of F, then the Green function of ℂ \ E with pole at infinity is Hölder continuous.

2

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Some gap power series in multidimensional setting

100%

Siciak J.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

|

2011

|

tom 65

|

nr 2

EN

We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.

3

On the product property for the transfinite diameter

51%

Błocki Z., Edigarian A., Siciak J.

Annales Polonici Mathematici

|

2011

|

tom 101

|

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.

4

Bounded holomorphic functions with multiple sheeted pluripolar hulls

51%

Edigarian A., Siciak J., Zwonek W.

Studia Mathematica

|

2006

|

tom 175

|

nr 3

233-247

EN

We describe compact subsets K of ∂𝔻 and ℝ admitting holomorphic functions f with the domains of existence equal to ℂ∖K and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.

5

On series of homogeneous polynomials and their partial sums

44%

Siciak J.

Annales Polonici Mathematici

|

1990

|

tom 51

|

nr 1

289-302

6

Polynomials and multilinear mappings in topological vector-spaces

38%

Bochnak J., Siciak J.

Studia Mathematica

|

1971

|

tom 39

|

nr 1

59-76

7

Extremal plurisubharmonic functions in $C^N$

38%

Siciak J.

Annales Polonici Mathematici

|

1981

|

tom 39

|

nr 1

175-211

8

Approximation by transcendental polynomials

38%

Siciak J.

Annales Polonici Mathematici

|

1985

|

tom 46

|

nr 1

299-309

9

Singular sets of separately analytic functions

38%

Siciak J.

Colloquium Mathematicum

|

1990

|

tom 60-61

|

nr 1

281-290

10

Analytic functions in topological vector-spaces

32%

Bochnak J., Siciak J.

Studia Mathematica

|

1971

|

tom 39

|

nr 1

77-112

Ograniczanie wyników

5 Annales Polonici Mathematici

3 Studia Mathematica

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Colloquium Mathematicum

10 Siciak J.

2 Bochnak J.

2 Edigarian A.

1 Błocki Z.

1 Zwonek W.

2 2011

1 2006

1 1997

2 1990

1 1985

1 1981

2 1971

Wiener's type regularity criteria on the complex plane

Some gap power series in multidimensional setting

On the product property for the transfinite diameter

Bounded holomorphic functions with multiple sheeted pluripolar hulls

On series of homogeneous polynomials and their partial sums

Polynomials and multilinear mappings in topological vector-spaces

Extremal plurisubharmonic functions in $C^N$

Approximation by transcendental polynomials

Singular sets of separately analytic functions

Analytic functions in topological vector-spaces