A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Lipschitz spaces and bounded mean oscillation of harmonic mappings
Tekijät: Chen S, Ponnusamy S, Vuorinen M, Wang X
Julkaisuvuosi: 2013
Journal: Bulletin of the Australian Mathematical Society
Tietokannassa oleva lehden nimi: Bulletin of the Australian Mathematical Society
Numero sarjassa: 1
Vuosikerta: 88
Numero: 1
Aloitussivu: 143
Lopetussivu: 157
Sivujen määrä: 15
ISSN: 0004-9727
DOI: https://doi.org/10.1017/S0004972712000998
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:84881595697
Tiivistelmä
We first study the bounded mean oscillation of planar harmonic mappings. Then we establish a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings. Finally, we obtain sharp estimates on the Lipschitz number of planar harmonic mappings in terms of the bounded mean oscillation norm, which shows that the harmonic Bloch space is isomorphic to BMO as a Banach space. © 2012 Australian Mathematical Publishing Association Inc.
We first study the bounded mean oscillation of planar harmonic mappings. Then we establish a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings. Finally, we obtain sharp estimates on the Lipschitz number of planar harmonic mappings in terms of the bounded mean oscillation norm, which shows that the harmonic Bloch space is isomorphic to BMO as a Banach space. © 2012 Australian Mathematical Publishing Association Inc.
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