Balls and Quasi-Metrics: A Space of Homogenous Type Modeling the Real Analysis Related to the Monge-Ampère Equation.
Banach algebra of the Fourier multipliers on weighted Banach function spaces
Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ). An important consequence of the continuous embedding MX,w(ℝ) ⊂ L∞(ℝ) is that MX,w(ℝ) is a Banach algebra.
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.
BCR algorithm and the T(b) Theorem.
Behaviour of -Dini singular integrals in weighted spaces
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.
BIlinear Operators with Non-Smooth Symbol, I.
Biorthogonalité et théorie des opérateurs.
Boundary integral methods for harmonic differential forms in Lipschitz domains.
Boundary value problems and singular integral equations on Banach function spaces [Book]
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.
Boundedness for commutators of Littlewood-Paley operators on some Hardy spaces.
Boundedness for multilinear commutator of integral operator on Hardy and Herz-Hardy spaces.
Boundedness for multilinear commutator of Littlewood--Paley operator on Hardy and Herz--Hardy spaces.
Boundedness for multilinear commutator of Littlewood-Paley operator on Hardy and Herz-Hardy spaces.
Boundedness for multilinear commutator of Littlewood-Paley operator on Hardy and Herz-Hardy spaces.
Boundedness for multilinear Littlewood-Paley operators on Hardy and Herz-Hardy spaces.
Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces.