EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 53(67), pp. 61--68 (1993)

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On $M$-Bloch functions

Miroljub Jevti\'c and Miroslav Pavlovi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: We define the class $M$, which contains eigenfunctions of the invariant Laplacian derivatives of $\Cal M$-harmonic functions, etc. For $f\in M$ we define $\|f\|_{\Cal B}$ and derive several quantities equivalent to $\|f\|_{\Cal B}$. Particularly, if $f$ is $\Cal M$-harmonic function, then $\|f\|_{\Cal B}$ is the usual Bloch norm. Higher-order derivatives characterisation of $\Cal M$-harmonic Bloch space is also given.

Classification (MSC2000): 32A37

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition