Geodesic
Bloch’s theorem for heat mappings
Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 91-109

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In this paper we give a proof via the contraction mapping principle of a Bloch-type theorem for (normalised) heat Bochner–Takahashi K-mappings, that is, mappings that are solutions of the heat equation, and which also satisfy a weak form of K-quasiregularity. We also provide estimates from below for the radius of the univalent balls covered by this family of functions.

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DOI : 10.4171/rsmup/92
Classification : 30, 00 
Cortissoz, Jean C. Bloch’s theorem for heat mappings. Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 91-109. doi: 10.4171/rsmup/92
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     title = {Bloch{\textquoteright}s theorem for heat mappings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {91--109},
     year = {2022},
     volume = {147},
     doi = {10.4171/rsmup/92},
     mrnumber = {4450785},
     zbl = {1494.30041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/rsmup/92/}
}
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