q-plurisubharmonicity and q-pseudoconvexity in Cn.

Nguyen Quang Dieu

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 2, page 349-369
  • ISSN: 0214-1493

Abstract

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We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that Bq-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.

How to cite

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Dieu, Nguyen Quang. "q-plurisubharmonicity and q-pseudoconvexity in Cn.." Publicacions Matemàtiques 50.2 (2006): 349-369. <http://eudml.org/doc/41594>.

@article{Dieu2006,
abstract = {We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that Bq-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.},
author = {Dieu, Nguyen Quang},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de varias variables complejas; Funciones plurisubarmónicas; Dominios pseudoconvexos},
language = {eng},
number = {2},
pages = {349-369},
title = {q-plurisubharmonicity and q-pseudoconvexity in Cn.},
url = {http://eudml.org/doc/41594},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Dieu, Nguyen Quang
TI - q-plurisubharmonicity and q-pseudoconvexity in Cn.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 2
SP - 349
EP - 369
AB - We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that Bq-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.
LA - eng
KW - Funciones de varias variables complejas; Funciones plurisubarmónicas; Dominios pseudoconvexos
UR - http://eudml.org/doc/41594
ER -

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