Holomorphic almost periodic functions on coverings of complex manifolds.
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Brudnyi, A., Kinzebulatov, D. (2011)
The New York Journal of Mathematics [electronic only]
Frank Beatrous, Jacob Burbea (1989)
Silvia I. Hartzstein, Beatriz E. Viviani (2005)
Collectanea Mathematica
The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.
Raymond L. Johnson, Christoph J. Neugebauer (1987)
Revista Matemática Iberoamericana
Walther, B.G. (2000)
Acta Mathematica Universitatis Comenianae. New Series
G.I. Gaudry, T. Qian (1994)
Mathematische Zeitschrift
Andrea Braides, Valeria Chiadó Piat, Anneliese Defranceschi (1992)
Annales de l'I.H.P. Analyse non linéaire
Aurélia Fraysse, Stéphane Jaffard (2006)
Revista Matemática Iberoamericana
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Hölder regularity are fractal sets, and we determine their Hausdorff dimension.
E.M. Stein, D.H. Phong (1986)
Inventiones mathematicae
Michal Staš (2008)
Acta Universitatis Carolinae. Mathematica et Physica
Andrea R. Nahmod (1995)
Revista Matemática Iberoamericana
We define a class of integral operators which are singular relative to the hyperbolic metric in simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L2 of the upper half plane relative to the hyperbolic metric.
Wei, Ruiying, Li, Yin (2011)
Journal of Inequalities and Applications [electronic only]
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