Let A r = { < | z 1 } be an annulus. We consider the class of operators F : T ∈ B ( H ) 2 − ⁎ + ≤ , σ ⊂ and show that for every bounded holomorphic function ϕ on sup ⁡ ∞ where constant is best possible. do this by characterizing calcular norm induced as multiplier a suitable space .

Preface In this course we survey some recent work on the strongly bounded Turing re-ducibilities on the computably enumerable sets. Bounded Turing reducibilities are obtained from classical Turing reducibility by imposing upper bounds on the use functions (i.e., on the size of the oracle queries) of the reductions. The most popular bounded Turing reducibility which has been intensively studied ...

‎let $x,y$ be normed spaces with $l(x,y)$ the space of continuous‎ ‎linear operators from $x$ into $y$‎. ‎if ${t_{j}}$ is a sequence in $l(x,y)$,‎ ‎the (bounded) multiplier space for the series $sum t_{j}$ is defined to be‎ [ ‎m^{infty}(sum t_{j})={{x_{j}}in l^{infty}(x):sum_{j=1}^{infty}%‎ ‎t_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator $s:m^{infty}(sum t_{j})rightarrow y$ associat...

We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold, Falk and Winther [ Mixed finite element methods for linear ...

The e¢ cient bootstrap methodology is developed for overidenti…ed moment conditions models with weakly dependent observation. The resulting bootstrap procedure is shown to be asymptotically valid and can be used to approximate the distributions of t-statistics, J statistic for overidentifying restrictions, and Wald, Lagrange multiplier and distance statistics for nonlinear hypotheses. The asymp...

LogicWeb has traditionally lacked devices for dealing with intractable queries. We address this limitation by adopting length-bounded inference, a form of approximate reasoning. A length-bounded inference is of the form pv(P, G, n) which is a success if a query G can be proved from the web page P within n proof steps. It thus makes LogicWeb decidable and more tractable. During the process, we p...