We consider the aff(1)-module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie superalgebra aff(1) with coefficients in space Dλ,ν;µ of bilinear differential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.

We characterize the space of multipliers between certain weighted Besov spaces of analytic functions. This extend and give a new proof of a result of Wojtaszczyk about multipliers between Bergman spaces. Introduction. P. Wojtaszczyk [W], using certain factorization theorems due to Maurey and Grothendieck, proved the following results: Let α > 0, 0 < p ≤ 2 ≤ q < ∞ and 1r = 1 p − 1q . (0.1) (Bq, ...

In this paper, the necessary and sufficient conditions for product of composition operators to be isometry are obtained on weighted Bergman space. With help a counter example we also proved that unlike [Formula: see text] operator induced by an analytic self-map with fixed origin need not norm one. We have generalized Schwartz’s [Composition text], thesis, University Toledo (1969)] well-known r...

In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.

The objective of the present work is to propose a method to automatically detect polarity of the speech signals by estimating instants of significant excitation of the vocaltract and the cosine phase of the analytic signal representation. The phase changes in the analytic signal around the Hilbert envelope (HE) peaks are found to vary according to the polarity of the given speech signal. The re...

Let D be the open unit disk in the complex plane C. Denote by H(D) the class of all functions analytic on D. An analytic self-map φ : D → D induces the composition operator Cφ on H(D), defined by Cφ ( f ) = f (φ(z)) for f analytic on D. It is a well-known consequence of Littlewood’s subordination principle that the composition operator Cφ is bounded on the classical Hardy and Bergman spaces (se...

The estimation of the local phase and local amplitude of 1-D signals can be realized by the construction of the analytic signal. This includes the evaluation of the signal’s Hilbert transform, which performs a phase shift. In the past, different definitions of the analytic signal of multidimensional signals have been proposed, all of which are based on different combinations of partial and tota...