Construction of functions with prescribed Hölder and chirp exponents.

Título inglés	Construction of functions with prescribed Hölder and chirp exponents.
Título español	Construcción de funciones con exponentes Hölder y chirp prescritos.
Autor/es	Jaffard, Stéphane
Organización	Dép. Math. Univ. Paris XII, Creteil, Francia
Revista	0213-2230
Publicación	2000, 16 (2): 331-349, 11 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We show that the Hölder exponent and the chirp exponent of a function can be prescribed simultaneously on a set of full measure, if they are both lower limits of continuous functions. We also show that this result is optimal: In general, Hölder and chirp exponents cannot be prescribed outside a set of Hausdorff dimension less than one. The direct part of the proof consists in an explicit construction of a function determined by its orthonormal wavelet coefficients; the optimality is the direct consequence of a general method we introduce in order to obtain lower bounds on the dimension of some fractal sets.
Clasificación UNESCO	120210
Palabras clave español	Funciones continuas ; Análisis armónico ; Ondículas ; Fractales
Código MathReviews	MR1809343
Código Z-Math	Zbl 0987.42024
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