Differential-free Characterisation of Smooth Mappings with Controlled Growth
Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 628-636
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In this paper we give some generalizations and improvements of the Pavlović result on the Holland–Walsh type characterization of the Bloch space of continuously differentiable (smooth) functions in the unit ball in ${{\text{R}}^{m}}$ .
Mots-clés :
32A18, 30D45, Bloch type spaces, Lipschitz type spaces, Holland-Walsh characterisation, hyperbolic distance, analytic function, Möbius transform
Marković, Marijan. Differential-free Characterisation of Smooth Mappings with Controlled Growth. Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 628-636. doi: 10.4153/CMB-2017-051-7
@article{10_4153_CMB_2017_051_7,
author = {Markovi\'c, Marijan},
title = {Differential-free {Characterisation} of {Smooth} {Mappings} with {Controlled} {Growth}},
journal = {Canadian mathematical bulletin},
pages = {628--636},
year = {2018},
volume = {61},
number = {3},
doi = {10.4153/CMB-2017-051-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-051-7/}
}
TY - JOUR AU - Marković, Marijan TI - Differential-free Characterisation of Smooth Mappings with Controlled Growth JO - Canadian mathematical bulletin PY - 2018 SP - 628 EP - 636 VL - 61 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-051-7/ DO - 10.4153/CMB-2017-051-7 ID - 10_4153_CMB_2017_051_7 ER -
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