|
| | | | |
| | | |
| Stat |
Members: 3667
Articles: 2'599'751
Articles rated: 2609
07 February 2025 |
|
| | | | |
|
Article overview
| |
|
|
Proof of the Khavinson conjecture near the boundary of the unit ball | | Marijan Markovic
; | | Date: |
1 Aug 2015 | | Abstract: | This paper deals with an extremal problem for bounded harmonic functions in
the unit ball of $mathbf{R}^n$. We consider the generalized Khavinson problem
in a specific situation -- near the boundary of the unit ball. This problem was
precisely formulated by G. Kresin and V. Maz’ya for harmonic functions in the
unit ball and in the half--space of $mathbf{R}^n$. The aim is to find the
optimal pointwise estimates for the norm of the gradient of real--valued
harmonic functions. In the case of the unit disc, or the half--plane, theses
estimates are well known, and may be seen as the consequences of the classical
Schwarz lemma. | | Source: | arXiv, 1508.0125 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER