On Dyakonov type theorems for harmonic quasiregular mappings
Miloš Arsenović; Miroslav Pavlović
Czechoslovak Mathematical Journal (2017)
- Volume: 67, Issue: 2, page 289-296
- ISSN: 0011-4642
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topArsenović, Miloš, and Pavlović, Miroslav. "On Dyakonov type theorems for harmonic quasiregular mappings." Czechoslovak Mathematical Journal 67.2 (2017): 289-296. <http://eudml.org/doc/288209>.
@article{Arsenović2017,
abstract = {We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.},
author = {Arsenović, Miloš, Pavlović, Miroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {modulus of continuity; harmonic mapping; quasiregular mapping},
language = {eng},
number = {2},
pages = {289-296},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Dyakonov type theorems for harmonic quasiregular mappings},
url = {http://eudml.org/doc/288209},
volume = {67},
year = {2017},
}
TY - JOUR
AU - Arsenović, Miloš
AU - Pavlović, Miroslav
TI - On Dyakonov type theorems for harmonic quasiregular mappings
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 2
SP - 289
EP - 296
AB - We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.
LA - eng
KW - modulus of continuity; harmonic mapping; quasiregular mapping
UR - http://eudml.org/doc/288209
ER -
References
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- Pavlović, M., 10.1007/BF02392949, Acta Math. 183 (1999), 141-143. (1999) Zbl0989.46011MR1719563DOI10.1007/BF02392949
- Pavlović, M., 10.1515/9783110281903, De Gruyter Studies in Mathematics 52, De Gruyter, Berlin (2014). (2014) Zbl1296.30002MR3154590DOI10.1515/9783110281903
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