Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry

Olli Martio; V. Miklyukov; M. Vuorinen

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 3, page 585-608
  • ISSN: 0011-4642

Abstract

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The rate of growth of the energy integral of a quasiregular mapping f 𝒳 → 𝒴 is estimated in terms of a special isoperimetric condition on 𝒴 . The estimate leads to new Phragmén-Lindelöf type theorems.

How to cite

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Martio, Olli, Miklyukov, V., and Vuorinen, M.. "Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry." Czechoslovak Mathematical Journal 51.3 (2001): 585-608. <http://eudml.org/doc/30657>.

@article{Martio2001,
abstract = {The rate of growth of the energy integral of a quasiregular mapping $f\:\mathcal \{X\}\rightarrow \mathcal \{Y\}$ is estimated in terms of a special isoperimetric condition on $\mathcal \{Y\}$. The estimate leads to new Phragmén-Lindelöf type theorems.},
author = {Martio, Olli, Miklyukov, V., Vuorinen, M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Phragmén-Lindelöf type theorems; quasiregular mappings; isoperimetry; Phragmén-Lindelöf type theorems; quasiregular mappings; isoperimetry},
language = {eng},
number = {3},
pages = {585-608},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry},
url = {http://eudml.org/doc/30657},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Martio, Olli
AU - Miklyukov, V.
AU - Vuorinen, M.
TI - Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 3
SP - 585
EP - 608
AB - The rate of growth of the energy integral of a quasiregular mapping $f\:\mathcal {X}\rightarrow \mathcal {Y}$ is estimated in terms of a special isoperimetric condition on $\mathcal {Y}$. The estimate leads to new Phragmén-Lindelöf type theorems.
LA - eng
KW - Phragmén-Lindelöf type theorems; quasiregular mappings; isoperimetry; Phragmén-Lindelöf type theorems; quasiregular mappings; isoperimetry
UR - http://eudml.org/doc/30657
ER -

References

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  16. 10.1007/BF02415450, Acta Math. 31 (1908), 381–406. (1908) MR1555044DOI10.1007/BF02415450
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  19. 10.24033/asens.1299, Ann. Sci. École Norm. Sup. 8 (1975), 487–507. (1975) Zbl0325.53039MR0397619DOI10.24033/asens.1299

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