Boundary Multifractal Behaviour for Harmonic Functions in the Ball

Author:

Bayart Frédéric,Heurteaux Yanick

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference14 articles.

1. Armitage, D.H.: Normal limits, half-spherical means and boundary measures of half-space Poisson integrals. Hiroshima Math. J. 11, 235–246 (1981)

2. Aubry, J.-M.: On the rate of pointwise divergence of Fourier and wavelet series in L p . J. Approx. Theory 538, 97–111 (2006)

3. Axler, S., Bourdon, P., Ramey, W.: Harmonic function theory. Graduate Texts in Mathematics, vol. 137. Springer (1992)

4. Bayart, F., Heurteaux, Y.: Multifractal analysis of the divergence of Fourier series. arXiv:1101.3027 (2011, submitted)

5. Bayart, F., Heurteaux, Y.: Multifractal analysis of the divergence of Fourier series: the extreme cases. arXiv:1110.5478 (2011, submitted)

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