Beurling-Hörmander uncertainty principle for the spherical mean operator.
Bieberbach functions and periodic distributions.
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.
Biorthogonalité et théorie des opérateurs.
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.
Boundary estimates for derivatives of harmonic functions
Boundary integral methods for harmonic differential forms in Lipschitz domains.
Boundary stabilization of a coupled system of nondissipative Schrödinger equations.
Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions.
Boundary value problems and singular integral equations on Banach function spaces [Book]
Boundedness and compactness of some operators on discrete Morrey spaces
We consider discrete versions of Morrey spaces introduced by Gunawan et al. in papers published in 2018 and 2019. We prove continuity and compactness of multiplication operators and commutators acting on them.
Boundedness criterion for multilinear oscillatory integrals with rough kernels
We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
Boundedness for a bilinear model sum operator on ℝⁿ
The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.