Katalog GES



CAPACITY

The ${\cal C}^{1}\text{-harmonic}$ capacity κ c plays a central role in problems of approximation by harmonic functions in the ${\cal C}^{1}\text{-norm}$ in ${\Bbb R}^{n+1}$ . In this paper we prove the comparability between the capacity κ c and its positive version $\kappa _{+}^{c}$ . As a... Full description

1st Person: DE VILLA, ALEIX RUIZ
Additional Persons: TOLSA, XAVIER
Source: in Transactions of the American Mathematical Society Vol. 362, No. 7 (2010), p. 3641-3675
More Articles
Type of Publication: Article
Language: English
Published: 2010
Online: Volltext
  Search for full text
LEADER 01504nma a2200301 c 4500
001 JST104141999
003 DE-601
005 20180527151229.0
007 cr uuu---uuuuu
008 180527s2010 000 0 eng d
024 8 |a 25677842 
035 |a 25677842 
040 |b ger  |c GBVCP 
041 0 |a eng 
100 1 |a DE VILLA, ALEIX RUIZ 
245 1 0 |a CAPACITY  |h Elektronische Ressource 
300 |a Online-Ressource 
500 |a Copyright: © 2010 American Mathematical Society 
520 |a The ${\cal C}^{1}\text{-harmonic}$ capacity κ c plays a central role in problems of approximation by harmonic functions in the ${\cal C}^{1}\text{-norm}$ in ${\Bbb R}^{n+1}$ . In this paper we prove the comparability between the capacity κ c and its positive version $\kappa _{+}^{c}$ . As a corollary, we deduce the semiadditivity of κ c . This capacity can be considered as a generalization in ${\Bbb R}^{n+1}$ of the continuous analytic capacity α in ${\Bbb C}$ . Moreover, we also show that the so-called inner boundary conjecture fails for dimensions n > 1, unlike in the case n = 1. 
611 2 7 |a research-article  |2 gnd 
689 0 0 |A f  |a research-article 
689 0 |5 DE-601 
700 1 |a TOLSA, XAVIER 
773 0 8 |i in  |t Transactions of the American Mathematical Society  |g Vol. 362, No. 7 (2010), p. 3641-3675  |q 362:7<3641-3675  |w (DE-601)JST086523945  |x 0002-9947 
856 4 1 |u https://www.jstor.org/stable/25677842  |3 Volltext 
912 |a GBV_JSTOR 
951 |a AR 
952 |d 362  |j 2010  |e 7  |h 3641-3675 

Similar Items

Cannot find similar records

Library Services

Search Options

Quick links

Orientation