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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.
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 -