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In this note we show that analytic self-maps phi of the unit disk inducing Hilbert-Schmidt composition operators C-phi on the weighted Dirichlet space D-alpha satisfy that the set E-phi = {e(itheta) is an element of partial derivativeD : |phi(e([...]texto impreso
It is well-known that the pressure of a lubricating fluid filling the gap between two solid surfaces satisfies the Reynolds equation involving the distance function, h, between both planes, as a crucial coefficient. Nevertheless, in most of the [...]texto impreso
The authors use the Arf closure relative to divisorial valuations to define an extension of Puiseux exponents for general singularities. Primary exponents come from valuation associated to arc space components. Secondary exponents are related to[...]texto impreso
A bounded operator T acting on a Hilbert space H is called cyclic if there is a vector x such that the linear span of the orbit {Tnx:n?0} is dense in H. If the scalar multiples of the orbit are dense, then T is called supercyclic. Finally, if th[...]
