Errata of the paper “On the - boundedness of some fractional integral operators”
Errata to the paper "Addendum to the paper "On singular integrals"" by A.P. Calderón and A. Zygmund, Studia Math. 46 (1973), pp. 297-299
Erratum to "A class of Fourier multipliers on H¹(ℝ²)" (Studia Math. 140 (2000), 289-298)
Erratum to "On convolution operators with small support which are far from being convolution by a bounded measure" (Colloq. Math. 67 (1994), 33-60)
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
Error estimates for approximation of translation invariant operators
Espace BMO, mesures de Carleson fonctions g de Littlewood-Paley généralisées et conditions d' annulation.
Espaces BMO, inégalités de Paley et multiplicateurs idempotents
Generalizing the classical BMO spaces defined on the unit circle with vector or scalar values, we define the spaces and , where for x ≥ 0 and q ∈ [1,∞[, and where B is a Banach space. Note that and by the John-Nirenberg theorem. Firstly, we study a generalization of the classical Paley inequality and improve the Blasco-Pełczyński theorem in the vector case. Secondly, we compute the idempotent multipliers of . Pisier conjectured that the supports of idempotent multipliers of form a Boolean...
Estimates, Decay Properties, Computation of the Dual Function for Gabor Frames.
Estimates for differential operators of vector analysis involving -norm
Estimates for double Hilbert transform
Estimates for maximal singular integrals
It is shown that maximal truncations of nonconvolution L²-bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1,1) and -bounded for 1 < p< ∞. Under stronger smoothness conditions, such estimates can be obtained using a generalization of Cotlar’s inequality. This inequality is not applicable here and the point of this article is to treat the boundedness of such maximal singular integral operators in an alternative way.
Estimates for oscillatory singular integrals on Hardy spaces
For any n ∈ ℕ, we obtain a bound for oscillatory singular integral operators with polynomial phases on the Hardy space H¹(ℝⁿ). Our estimate, expressed in terms of the coefficients of the phase polynomial, establishes the H¹ boundedness of such operators in all dimensions when the degree of the phase polynomial is greater than one. It also subsumes a uniform boundedness result of Hu and Pan (1992) for phase polynomials which do not contain any linear terms. Furthermore, the bound is shown to be valid...
Estimates for polynomials orthogonal with respect to some Gegenbauer-Sobolev type inner product.
Estimates for Singular Convolution Operators on the Heisenberg Group.
Estimates for singular integral operators in terms of maximal functions
Estimates for singular integral operators with mixed type homogeneities in Hardy classes.
Estimates for singular integrals and extrapolation
We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove boundedness of the singular integrals under a certain sharp size condition on their kernels.
Estimates for spline orthonormal functions and for their derivatives