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Differential-free Characterisation of Smooth Mappings with Controlled Growth

  • Marijan Marković (a1)


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 ${{\text{R}}^{m}}$ .



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[3] Holland, F. and Walsh, D., Criteriafor membership of Block Space and its subspace, BMOA. Math. Ann. 273(1986), 317335.
[4] Pavlovic, M., On the Holland-Walsh characterization of Block functions. Proc. Edinb. Math. Soc. 51(2008), 439441.
[5] Ren, G. and Tu, C., Block Space in the unit ball of Cn. Proc. Amer. Math. Soc. 133(2005), 719726.
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Differential-free Characterisation of Smooth Mappings with Controlled Growth

  • Marijan Marković (a1)


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