Base d'ondelettes sur les groupes de Lie stratifiés
Bases d'ondelettes sur les courbes corde-arc, noyau de Cauchy et spaces de Hardy associés.
Se construyen dos bases incondicionales de L2(R) adaptadas al estudio de la integral de Cauchy sobre una curva cuerda-arco, y se extiende la construcción a L2(Rd). Esto permite obtener una prueba simple del "Teorema T(b)" de G. David, J.L. Journé u S. Semmes. Se define un espacio de Hardy ponderado Hb1(Rd) caracterizado por las bases anteriores. Finalmente se aplican estos métodos al estudio del potencial de doble capa sobre una superficie lipschitziana.
Bases orthonormées de paquets d'ondelettes.
Basic relations valid for the Bernstein spaces and their extensions to larger function spaces via a unified distance concept
Some basic theorems and formulae (equations and inequalities) of several areas of mathematics that hold in Bernstein spaces are no longer valid in larger spaces. However, when a function f is in some sense close to a Bernstein space, then the corresponding relation holds with a remainder or error term. This paper presents a new, unified approach to these errors in terms of the distance of f from . The difficult situation of derivative-free error estimates is also covered.
Basis properties of some systems of exponential functions, cosines, and sines.
BCR algorithm and the T(b) Theorem.
Behaviour of -Dini singular integrals in weighted spaces
Bemerkung über trigonometrische Reihen
Bergman function, Genchev transform and L²-angles, for multidimensional tubes [Book]
Bernoulli convolutions-an application of set theory in analysis
Bernstein's theorem on weighted Besov spaces.
Besicovitch Type Maximal Operators and Applications to Fourier Analysis.
Besicovitch's circle pairs, analytic capacity, and Cauchy integrals for a class of unrectifiable 1-sets.
Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels.
Besov characteristic of a distribution.
Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains.
Besov spaces on spaces of homogeneous type and fractals
Let Γ be a compact d-set in ℝⁿ with 0 < d ≤ n, which includes various kinds of fractals. The author shows that the Besov spaces defined by two different and equivalent methods, namely, via traces and quarkonial decompositions in the sense of Triebel are the same spaces as those obtained by regarding Γ as a space of homogeneous type when 0 < s < 1, 1 < p < ∞ and 1 ≤ q ≤ ∞.
Besov-type spaces on R and integrability for the Dunkl transform.
Bessel generalized translations and some problems of approximation theory for functions on the half-line.
Best approximation by Vilenkin-like systems.