Bilinear multipliers and transference.
Bilinear multipliers on Lorentz spaces
We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
Bilinear operators associated with Schrödinger operators
Let L = -Δ + V be a Schrödinger operator in and be the Hardy type space associated to L. We investigate the bilinear operators T⁺ and T¯ defined by , where T₁ and T₂ are Calderón-Zygmund operators related to L. Under some general conditions, we prove that either T⁺ or T¯ is bounded from to for 1 < p,q < ∞ with 1/p + 1/q = 1. Several examples satisfying these conditions are given. We also give a counterexample for which the classical Hardy space estimate fails.
BIlinear Operators with Non-Smooth Symbol, I.
Bi-Lipschitz decomposition of Lipschitz functions into a metric space.
Biorthogonal multiresolution analyses and decompositions of Sobolev spaces.
Biorthogonal Smooth Local Trigonometric Bases.
Biorthogonal Wavelets in H...(...).
Biorthogonal wavelets, MRA's and shift-invariant spaces
We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].
Biorthogonalité et théorie des opérateurs.
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols.
BMO and commutators of martingale transforms
The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on , , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.
BMO and smooth truncation in Sobolev spaces
BMO harmonic approximation in the plane and spectral synthesis for Hardy-Sobolev spaces.
The spectral synthesis theorem for Sobolev spaces of Hedberg and Wolff [7] has been applied in combination with duality, to problems of Lq approximation by analytic and harmonic functions. In fact, such applications were one of the main motivations to consider spectral synthesis problems in the Sobolev space setting. In this paper we go the opposite way in the context of the BMO-H1 duality: we prove a BMO approximation theorem by harmonic functions and then we apply the ideas in its proof to produce...
BMO-Boundedness of Lusin's Area Function.
Bochner-Hecke Theorems for the Weinstein Transform and Application
MSC 2010: 42B10, 44A15In this paper we prove Bochner-Hecke theorems for the Weinstein transform and we give an application to homogeneous distributions.
Bochner-Riesz Means of Functions in Weak-Lp.
Book Reviews
Boundary estimates for derivatives of harmonic functions
Boundary integral methods for harmonic differential forms in Lipschitz domains.