Boundary behavior of subharmonic functions in nontangential accessible domains

Zhao, Shiying

Zhao, Shiying

Studia Mathematica, Tome 108 (1994), p. 25-48 / Harvested from The Polish Digital Mathematics Library

Résumé

The following results concerning boundary behavior of subharmonic functions in the unit ball of $ℝ^{n}$ are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek’s theorem on the $L^{p}$ -nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.

Publié le : 1994-01-01

Zbl 0863.31008

EUDML-ID : urn:eudml:doc:216038

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     author = {Shiying Zhao},
     title = {Boundary behavior of subharmonic functions in nontangential accessible domains},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {25-48},
     zbl = {0863.31008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv108i1p25bwm}
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Zhao, Shiying. Boundary behavior of subharmonic functions in nontangential accessible domains. Studia Mathematica, Tome 108 (1994) pp. 25-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv108i1p25bwm/

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