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 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 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 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 Kerzman-Stein Operator for the Ellipse
The norms and singular numbers of polynomials of the classical Volterra operator in L₂(0,1)
The spectral problem (s²I - ϕ(V)*ϕ(V))f = 0 for an arbitrary complex polynomial ϕ of the classical Volterra operator V in L₂(0,1) is considered. An equivalent boundary value problem for a differential equation of order 2n, n = deg(ϕ), is constructed. In the case ϕ(z) = 1 + az the singular numbers are explicitly described in terms of roots of a transcendental equation, their localization and asymptotic behavior is investigated, and an explicit formula for the ||I + aV||₂ is given. For all a ≠ 0 this...
The Poisson's problem for the Laplacian with Robin boundary condition in non-smooth domains.
The power boundedness and resolvent conditions for functions of the classical Volterra operator
Let ϕ(z) be an analytic function in a disk |z| < ρ (in particular, a polynomial) such that ϕ(0) = 1, ϕ(z)≢ 1. Let V be the operator of integration in , 1 ≤ p ≤ ∞. Then ϕ(V) is power bounded if and only if ϕ’(0) < 0 and p = 2. In this case some explicit upper bounds are given for the norms of ϕ(V)ⁿ and subsequent differences between the powers. It is shown that ϕ(V) never satisfies the Ritt condition but the Kreiss condition is satisfied if and only if ϕ’(0) < 0, at least in the polynomial...
The spectra and singular values of multidimensional integral operators with bihomogeneous kernels.
The Spectra of Hyponormal Integral Operators
The spectrum of the transport operator with a potential term under the spatial periodicity condition
The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation.
Time regularity and functions of the Volterra operator
Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = 1 and . This answers Zemánek’s question on the time regularity property.
Transferring monotonicity in weighted norm inequalities.
Certain weighted norm inequalities for integral operators with non-negative, monotone kernels are shown to remain valid when the weight is replaced by a monotone majorant or minorant of the original weight. A similar result holds for operators with quasi-concave kernels. To prove these results a careful investigation of the functional properties of the monotone envelopes of a non-negative function is carried-out. Applications are made to function space embeddings of the cones of monotone functions...