Teoria dei fasci e trasformazioni integrali per -moduli tra varietà di Grassmann
The Banach Envelopes of Besov and Triebel-Lizorkin Spaces and Applications to Partial Differential Equations.
The bilinear maximal functions map into for .
The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.
Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|>ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.
The boundedness of two classes of integral operators
The aim of this paper is to characterize the boundedness of two classes of integral operators from to in terms of the parameters , , , , and , , where is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019).
The C*-Algebra of the N-Dimensional Harmonic Oscillator.
The Complete (L..., L...) Mapping Properties for a Class of Oscillatory Integrals.
The continuity of multilinear singular integral operators with variable Calderón-Zygmund kernel on Hardy and Herz spaces.
The continuity of pseudo-differential operators on weighted local Hardy spaces
We first show that a linear operator which is bounded on with w ∈ A₁ can be extended to a bounded operator on the weighted local Hardy space if and only if this operator is uniformly bounded on all -atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to .
The eigenvalues of hypoelliptic operators
The formal Laplace--Borel transform of Fliess operators and the composition product.
The Fourier integral operators on Hardy spaces associated with Herz spaces
In this paper, it is proved that the Fourier integral operators of order , with , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.
The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order in the Sobolev space .
The importance of being Orlicz
The inversion formulae for some Bessel and hypergeometric
The Kerzman-Stein Operator for the Ellipse
The mapping problem for well-behaved convolutions
The level crossing problem in semi-classical analysis I. The symmetric case
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
The linear modulus of an integral operator
The Marcinkiewicz multiplier condition for bilinear operators
This article is concerned with the question of whether Marcinkiewicz multipliers on give rise to bilinear multipliers on ℝⁿ × ℝⁿ. We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardy spaces.