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We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Ourresults used in a fundamental way the existence of loc...
Motivated by index theory on flag varieties, we prove a compactness theorem for products of longitudinal pseudodifferential operators on manifolds admitting multiple fibrations. Let X be a smooth mani...
Let T : Lp --> Lp be a contraction, with p strictly between 1 and infinity, and assume that T is analytic, that is, there exists a constant K such that n\norm{T^n-T^{n-1}} < K for any positive intege...
Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a ‘resolution’ in terms of a fibra-tion, we construct a pseudodifferential calculus generalizing ...
Let be the set of all bounded sublinear operators from a Banach space into a complete Banach lattice . In the present paper, we will introduce to this category the concept of Cohen -nuclear operato...
This study of unbounded linear monotone operators $T\colon E \to E^*$ for nonreflexive Banach spaces $E$ was motivated by the (still open) problem of distinguishing between several well-studied classe...
An operator $T\colon\mathbb{R}^n\to\mathbb{R}^n$ is paramonotone iff it is monotone and $\langle T(x)-T(y),x-y \rangle=0$ implies $T(x)=T(y)$. This definition can be extended to operators defined in a...
In this note, which is a continuation of [17], we study two classes of maximal monotone operators on general Banach spaces which we call ${\cal C}_0$ (resp. ${\cal C}_1$)-{\mit regular}. All maximal m...
In this paper, we study the rate of convergence for functions of bounded variation for the recently introduced Bzier variant of the Meyer--Knig--Zeller--Durrmeyer operators.
In this small note we characterize the essential spectra of a class of composition operators on H\infty(H) of the upper half-plane H and on H\infty(D) of the unit disc D. These composition operators a...
We introduce certain modified Meyer-König and Zeller operators and we study their approximation properties. The similar results for modified Bernstein polynomials were given in [6].
We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically...
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...

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