Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.

Dashan Fan; Shanzhen Lu; Dachun Yang

Publicacions Matemàtiques (1998)

  • Volume: 42, Issue: 2, page 319-338
  • ISSN: 0214-1493

Abstract

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In this paper, the authors introduce a kind of local Hardy spaces in Rn associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.

How to cite

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Fan, Dashan, Lu, Shanzhen, and Yang, Dachun. "Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.." Publicacions Matemàtiques 42.2 (1998): 319-338. <http://eudml.org/doc/41353>.

@article{Fan1998,
abstract = {In this paper, the authors introduce a kind of local Hardy spaces in Rn associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.},
author = {Fan, Dashan, Lu, Shanzhen, Yang, Dachun},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Hardy; Función armónica; Ecuaciones diferenciales en derivadas parciales; Hardy space; Herz space; Herz-type Hardy space; superharmonic function},
language = {eng},
number = {2},
pages = {319-338},
title = {Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.},
url = {http://eudml.org/doc/41353},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Fan, Dashan
AU - Lu, Shanzhen
AU - Yang, Dachun
TI - Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 319
EP - 338
AB - In this paper, the authors introduce a kind of local Hardy spaces in Rn associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
LA - eng
KW - Espacios de Hardy; Función armónica; Ecuaciones diferenciales en derivadas parciales; Hardy space; Herz space; Herz-type Hardy space; superharmonic function
UR - http://eudml.org/doc/41353
ER -

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