Generalized multidimensional Hilbert transforms in Clifford analysis.
Brackx, Fred, De Knock, Bram, De Schepper, Hennie (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Hilbert transforms and the Cauchy integral in euclidean space”
Generalized multidimensional Hilbert transforms in Clifford analysis.
Boundary integral methods for harmonic differential forms in Lipschitz domains.
Mitrea, Dorina, Mitrea, Marius (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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The Hilbert transform and rearrangement of functions
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A remark on gradients of harmonic functions.
Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups
R. E. Lewkowicz (1988)
Colloquium Mathematicae
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Boundary behaviour of positive harmonic functions on Lipschitz domains.
Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.
Bernstein, S. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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On the existence of weighted boundary limits of harmonic functions
Yoshihiro Mizuta (1990)
Annales de l'institut Fourier
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We study the existence of tangential boundary limits for harmonic functions in a Lipschitz domain, which belong to Orlicz-Sobolev classes. The exceptional sets appearing in this discussion are evaluated by use of Bessel-type capacities as well as Hausdorff measures.
-spaces of harmonic functions
Linda Lumer-Naïm (1967)
Annales de l'institut Fourier
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Sous les hypothèses standard de l’axiomatique Brelot, étude de classes de fonctions harmoniques complexes définies comme les classes de Hardy classiques. Caractérisation comme solutions de problèmes de Dirichlet avec la frontière minimale, les filtres fins, et données-frontière dans , pour , comme intégrales de mesures complexes finies sur la frontière minimale, pour . Existence presque-partout à la frontière minimale d’une limite fine finie . Application à deux théorèmes du type...
A remark on gradients of harmonic functions in dimension ≥3
J. Bourgain, T. Wolff (1990)
Colloquium Mathematicae
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