Biorthogonal Wavelets in H...(...).
Biorthogonalité et théorie des opérateurs.
Biseparating maps on generalized Lipschitz spaces
Let X, Y be complete metric spaces and E, F be Banach spaces. A bijective linear operator from a space of E-valued functions on X to a space of F-valued functions on Y is said to be biseparating if f and g are disjoint if and only if Tf and Tg are disjoint. We introduce the class of generalized Lipschitz spaces, which includes as special cases the classes of Lipschitz, little Lipschitz and uniformly continuous functions. Linear biseparating maps between generalized Lipschitz spaces are characterized...
Bloch type spaces on the unit ball of a Hilbert space
We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
BMO and Lipschitz approximation by solutions of elliptic equations
We consider the problem of qualitative approximation by solutions of a constant coefficients homogeneous elliptic equation in the Lipschitz and BMO norms. Our method of proof is well-known: we find a sufficient condition for the approximation reducing matters to a weak spectral synthesis problem in an appropriate Lizorkin-Triebel space. A couple of examples, evolving from one due to Hedberg, show that our conditions are sharp.
BMO and smooth truncation in Sobolev spaces
BMO regularity for one-dimensional minimizers of some Lagrange problems.
BMO-scale of distribution on
Let be the class of tempered distributions. For we denote by the Bessel potential of of order . We prove that if , then for any , , where , . Also, we give necessary and sufficient conditions in order that the Bessel potential of a tempered distribution of order belongs to the space.
Bocce criterion and convergence in Pettis norme in . (Critère de Bocce et convergence en norm de Pettis dans .)
Bochner-Riesz Means of Functions in Weak-Lp.
Bolzano’s intermediate-value theorem for quasi-holomorphic maps
We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from l p into the scalar field, (0< p<1). This space is isomorphic to l ∞.
Borderline sharp estimates for solutions to Neumann problems.
Bornological and Ultrabornological C(X;E) Spaces.
Bornological and Ultrabornological Spaces of Type C(X, F) andE&F .
Bornological spaces of type
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces , where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.
Boundary eigencurve problems involving the -Laplacian operator.
Boundary spaces for inclusion map between rearrangement invariant spaces.
Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions.