Harmonic Conjugates in Weighted Bergman Spaces of Quaternion-Valued Functions

Author:

Avetisyan Karen,Gürlebeck Klaus,Sprössig Wolfgang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference31 articles.

1. K. L. Avetisyan, Fractional integro-differentiation in harmonic mixed norm spaces on a half-space, Comment. Math. Univ. Carolinae 42 (2001), 691–709.

2. K. L. Avetisyan, A maximal theorem for a weighted space on the unit ball of ℝn, Int. Conf. Harmonic Analysis and Approx. III, 2005, Tsaghkadzor, Armenia, Abstracts, Yerevan (2005) 10–11; http://math.sci.am/conference/sept2005/Abstracts.pdf .

3. S. Axler, P. Bourdon and W. Ramey, Harmonic Function Theory, 2nd Edition, Springer-Verlag, New York, 2001.

4. S. Bernstein, K. Gürlebeck, L. F. Reséndis and L. M. Tovar, Dirichlet and Hardy spaces of harmonic and monogenic functions, Z. Anal. Anwendungen 24 (2005), 763–789.

5. F. Brackx and N. Van Acker, A conjugate Poisson kernel in Euclidean space — Maple procedures for explicit calculation, Simon Stevin 67 no. 1–2 (1993), 3–14.

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