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References (39)
-
F. Brackx, R. Delanghe, F. Sommen (2002)
On conjugate harmonic functions in Euclidean spaceMathematical Methods in the Applied Sciences, 25
-
(2007)
and W -
(1996)
On the conjugate harmonic functions of M -
M Shapiro (1997)
Third international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, August 23–29, 1996 -
M. Pavlovic (1997)
Decompositions ofLpand Hardy Spaces of Polyharmonic FunctionsJournal of Mathematical Analysis and Applications, 216
-
S. Dimiev, K. Sekigawa (1997)
Topics in Complex Analysis, Differential Geometry and Mathematical Physics: Third International Workshop on Complex Structures and Vector Fields -
S. Bernstein, K. Gürlebeck (2005)
Dirichlet and Hardy Spaces of Harmonic and Monogenic FunctionsZeitschrift Fur Analysis Und Ihre Anwendungen, 24
-
O. Djordjevic, M. Pavlovic (2007)
On A littlewood-paley type inequality, 135
-
K. Avetisyan (2001)
Fractional integro-differentiation in harmonic mixed norm spaces on a half-space, 42
-
S. Stević (2003)
A note on polyharmonic functionsJournal of Mathematical Analysis and Applications, 278
-
(1990)
A harmonic conjugate of the Poisson kernel and a boundary value problem for monogenic functions in the unit ball of R (n ≥ 2), Simon -
(1988)
A conjugate harmonic to the Poisson kernel in the unit ball of R n -
C. Fefferman, C. Fefferman, E. Stein, E. Stein (1972)
Hp spaces of several variablesActa Mathematica, 129
-
(1990)
A harmonic conjugate of the Poisson kernel and a boundary value problem for monogenic functions in the unit ball of R n (n ≥ 2) -
E. Stein (1971)
Singular Integrals and Di?erentiability Properties of Functions -
(1979)
Quaternionic analysis, Math -
S. Axler, P. Bourdon, W. Ramey (1992)
Harmonic Function Theory -
G. Ren (2002)
Harmonic Bergman spaces with small exponents in the unit ballCollectanea Mathematica, 53
-
G. Ren, U. Kähler (2005)
Hardy-Littlewood Inequalities and Q_p-SpacesZeitschrift Fur Analysis Und Ihre Anwendungen, 24
-
J. Cooper (1973)
SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONSBulletin of The London Mathematical Society, 5
-
Andrew Chang (1979)
Quaternionic analysisMathematical Proceedings of the Cambridge Philosophical Society, 85
-
F. Brackx, B. Knock, H. Schepper, D. Eelbode (2006)
On the interplay between the Hilbert transform and conjugate harmonic functionsMathematical Methods in the Applied Sciences, 29
-
J. Shi (1991)
Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of C^nTransactions of the American Mathematical Society, 328
-
G. Ren, U. Kähler (2003)
Weighted Harmonic Bloch Spaces and Gleason's ProblemComplex Variables, Theory and Application: An International Journal, 48
-
K. Gürlebeck, K. Habetha, W. Sprößig (2007)
Holomorphic Functions in the Plane and n-dimensional Space -
(1988)
A conjugate harmonic to the Poisson kernel in the unit ball of R, Simon -
Jie Miao (1998)
Reproducing kernels for harmonic Bergman spaces of the unit ballMonatshefte für Mathematik, 125
-
JI-HUAI Shi (2009)
INEQUALITIES FOR THE INTEGRAL MEANS OF HOLOMORPHIC FUNCTIONS AND THEIR DERIVATIVES IN THE UNIT BALL OF C " -
O. Mihic, M. Pavlovic (2007)
Equivalent norms on Dirichlet spaces of polyharmonic functions on the ball in Rn, 13
-
F. Brackx, R. Delanghe (2003)
On harmonic potential fields and the structure of monogenic functionsZeitschrift Fur Analysis Und Ihre Anwendungen, 22
-
(2006)
Eelbode, On the interplay between the Hilbert transform and conjugate harmonic functions, Math -
M. Jevtic, M. Pavlovic (1999)
Harmonic Bergman Functions on the Unit Ball in RnActa Mathematica Hungarica, 85
-
F. Brackx, H. Schepper (2006)
Conjugate Harmonic Functions in Euclidean Space: a Spherical ApproachComputational Methods and Function Theory, 6
-
W. Rudin (1980)
Function Theory in the Unit Ball of Cn -
(1982)
Clifford Analysis -
F. Brackx, N. Acker (1993)
A conjugate Poisson kernel in Euclidean space, 67
-
J. Littlewood, G. Hardy (1932)
Some properties of conjugate functions.Journal für die reine und angewandte Mathematik (Crelles Journal), 1932
-
F Brackx, N Acker (1993)
A conjugate Poisson kernel in Euclidean space — Maple procedures for explicit calculationSimon Stevin, 67
-
(1997)
Quaternionic and Clifford Calculus for Engineers and Physicists
- Publisher
- Springer Journals
- Copyright
- Copyright © 2009 by Heldermann Verlag
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/BF03321747
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we study the harmonic conjugation problem in weighted Bergman spaces of quaternion-valued functions on the unit ball. For a scalar-valued harmonic function belonging to a Bergman space, harmonic conjugates in the same Bergman space are found.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Mar 23, 2009