List questions from potential-theory

Published on 05 Dec 2011 - 12:12

678

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Potential theory: discrete-time Markov processes

Published on 20 Jan 2012 - 12:35

210

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Harmonic measure or harmonic kernel

Published on 02 Feb 2012 - 15:29

134

Views

Evaluate integral: $ \int_{-1}^{1} \frac{\log|z-x|}{\pi\sqrt{1-x^2}}dx$

Published on 06 Mar 2012 - 21:04

462

Views

The $\alpha$-Potential-Operator (Definition and resolvent Equation)

Published on 18 Jun 2012 - 10:04

91

Views

Inequality for harmonic extension : Is $\int_{t\in S^1} |t-\zeta|^{\alpha}p(z,t) |dt| \leq K|z-\zeta|^{\alpha}, 0< \alpha < 1$ for uniform $K$?

Published on 19 Sep 2012 - 1:50

359

Views

Poisson integral on $\mathbb{H}$ for boundary data which is orientation-preserving homeomorphism of $\mathbb{R}$

Published on 07 Oct 2012 - 0:28

470

Views

Removal of singularities for harmonic functions with finite energy

Published on 01 Nov 2012 - 20:07

112

Views

Tight bounds for harmonic measure

Published on 07 Nov 2012 - 14:29

1.4k

Views

Discontinuity of double-layer potentials

Published on 17 Dec 2012 - 22:52

56

Views

Determining the effective coefficient in a boundary value problem.

Published on 08 Jan 2013 - 17:32

213

Views

A reference to study p-admissible functions

Published on 31 Jan 2013 - 3:04

908

Views

Green's function in 2D

Published on 12 Feb 2013 - 2:08

374

Views

How to show by example that existence of barrier function of any set $U\subset \mathbb{C}$ is dependent of its set?

Published on 21 Mar 2013 - 21:03

604

Views

Dirichlet problem in unbounded domain

Published on 28 Mar 2026 - 4:40

List Question

Brownian motion on the circle

Potential theory: discrete-time Markov processes

Harmonic measure or harmonic kernel

Evaluate integral: $ \int_{-1}^{1} \frac{\log|z-x|}{\pi\sqrt{1-x^2}}dx$

The $\alpha$-Potential-Operator (Definition and resolvent Equation)

Inequality for harmonic extension : Is $\int_{t\in S^1} |t-\zeta|^{\alpha}p(z,t) |dt| \leq K|z-\zeta|^{\alpha}, 0< \alpha < 1$ for uniform $K$?

Poisson integral on $\mathbb{H}$ for boundary data which is orientation-preserving homeomorphism of $\mathbb{R}$

Removal of singularities for harmonic functions with finite energy

Tight bounds for harmonic measure

Discontinuity of double-layer potentials

Determining the effective coefficient in a boundary value problem.

A reference to study p-admissible functions

Green's function in 2D

How to show by example that existence of barrier function of any set $U\subset \mathbb{C}$ is dependent of its set?

Dirichlet problem in unbounded domain

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