![Asymptotic Behavior for a Class of Modified <inline-formula> <graphic file="1029-242X-2010-647627-i1.gif"/></inline-formula>-Potentials in a Half Space](/en/item/26112971/Asymptotic-Behavior-for-a-Class-of-Modified-lessinline-formulagreater-lessgraphic-file"1029-242X-2010-647627-i1.gif"greaterlessinline-formulagreater-Potentials-in-a-Half-Space){kind=link}
Add to ORKGOur aim in this paper is to deal with the growth property at infinity for modified Poisson integrals in an n-dimensional cone. We also generalize the integral representation of harmonic functions in a half space of Rn(n ? 2) to the conical case
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
Let C denote an acute convex open cone in Rn with an apex at the origin and let T (C) = Rn + iC be ...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
Abstract In this paper, we establish new Poisson type inequalities with respect to a cone. As applic...
New conditions for the validity of the Poisson representation (in usual and generalized form) for a ...
We discuss the behavior at infinity of modified Poisson integral and Green potential on a half-space...
Abstract In this paper, we present new Poisson-type inequalities for Poisson integrals with continuo...
There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a ...
Dedicated to Professor Hidenobu Yoshida on the occasion of his sixtieth birthday. Our aim in this pa...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
summary:This paper shows that some characterizations of the harmonic majorization of the Martin func...
A class of -potentials represented as the sum of modified Green potential and modified Poisson int...
Abstract. For a harmonic function, by replacing its variables with norms of vectors in some multi-di...
This paper describes the set of harmonic functions on a given open set U which can be seen as the ke...
We deal with functions satisfying \begin{equation}\label{P_C} \begin{cases} (-\Delta)^s u_s=0 & \ma...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
Let C denote an acute convex open cone in Rn with an apex at the origin and let T (C) = Rn + iC be ...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
Abstract In this paper, we establish new Poisson type inequalities with respect to a cone. As applic...
New conditions for the validity of the Poisson representation (in usual and generalized form) for a ...
We discuss the behavior at infinity of modified Poisson integral and Green potential on a half-space...
Abstract In this paper, we present new Poisson-type inequalities for Poisson integrals with continuo...
There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a ...
Dedicated to Professor Hidenobu Yoshida on the occasion of his sixtieth birthday. Our aim in this pa...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
summary:This paper shows that some characterizations of the harmonic majorization of the Martin func...
A class of -potentials represented as the sum of modified Green potential and modified Poisson int...
Abstract. For a harmonic function, by replacing its variables with norms of vectors in some multi-di...
This paper describes the set of harmonic functions on a given open set U which can be seen as the ke...
We deal with functions satisfying \begin{equation}\label{P_C} \begin{cases} (-\Delta)^s u_s=0 & \ma...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
Let C denote an acute convex open cone in Rn with an apex at the origin and let T (C) = Rn + iC be ...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...