Let us briefly describe the setting in which we are working. D denotes the set of all dyadic intervals contained in the unit interval. π : D → D denotes a permutation of the dyadic intervals. The operator induced by π is determined by the equation TπhI = hπ(I) where hI denotes the L∞-normalised Haar function supported on the dyadic intervall I. The main result of this paper treats general permu...

The mapping properties of commutators [T,M ] = TM −MT , for operators between function spaces, and their various generalizations play an important role in harmonic analysis, PDE, interpolation theory and other related areas. A typical situation arises when M = Mb is the pointwise multiplication by a function b and T is a Calderón–Zygmund operator on R. Then well– known results of A.P. Calderón ...

In this paper we prove concentration results for norms of rectangular random matrices acting as operators between lp spaces, and eigenvalues of self-adjoint random matrices. Except for the self-adjointness condition when we consider eigenvalues, the only assumptions on the distribution of the matrix entries are independence and boundedness. Our approach is based on a powerful isoperimetric ineq...

In this note we consider to what extent the classical theorems of Plessner and Kuttner comparing the set of convergence of a trigonometric series with that of the conjugate trigonometric series can be generalized to higher dimensions. We show that if a function belongs to LP, p > 1, of the 2-torus, then the convergence (unrestricted rectangular convergence) of the Fourier series on a set implie...

In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

We prove several decidability and undecidability results for ν-PN, an extension of P/T nets with pure name creation and name management. We give a simple proof of undecidability of reachability, by reducing reachability in nets with inhibitor arcs to it. Thus, the expressive power of ν-PN strictly surpasses that of P/T nets. We encode ν-PN into Petri Data Nets, so that coverability, termination...

Die Verwendung von ID/LP-Grammatiken und komplexen Symbolen ist bei Flektionsreichen und in der Wortstellung flexiblen Sprachen wie dem Deutschen erfolgversprechender als der Rückgriff auf kontextfreie Grammatiken (cfg). Dieser Artikel beschreibt in einem ersten Schritt die dafür notwendigen Veränderungen des TomitaAlgorithmus und dessen Tabellengenerators. In einem zweiten Schritt werden wir a...

We study the weighted boundedness of the Cauchy singular integral operator SΓ in Morrey spaces L(Γ) on curves satisfying the arc-chord condition, for a class of ”radial type” almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve. We show that the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces L(0, ...

how to cite this article: derakhshanfar h, modanlookordi m, amini a, shahrami a. a comparative study of the sedative effect of oral midazolam and oral promethazine medication in lumbar puncture. iran j child neurol. 2013 spring;7(2):11-16.   objective lumbar puncture (lp) essentially is a painful and stressful procedure that indicated for diagnosis and therapeutic purposes. one way to reduce th...

• Banach-Alaoglu: compactness of polars • Variant Banach-Steinhaus/uniform boundedness • Second polars • Weak boundedness implies boundedness • Weak-to-strong differentiability The comparison of weak and strong differentiability is due to Grothendieck, although the original sources are not widely available.