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- Namita Das, N. Das
- 2012

In this paper we characterize the kernel of an intermediate Hankel operator on the Bergman space in terms of the inner divisors and obtain a characterization for finite rank intermediate Hankel operators.

- NAMITA DAS
- 2016

In this paper, we derive certain algebraic properties of Toeplitz and Hankel operators defined on the vector-valued Bergman spaces L 2,C n a (D), where D is the open unit disk in C and n ≥ 1. We show that the set of all Toeplitz operators T Φ , Φ ∈ L ∞ Mn (D) is strongly dense in the set of all bounded linear operators L(L 2,C n a (D)) and characterize all… (More)

- Namita Das, Rajendra Prasad Lal, Chandra Kishore Mohapatra
- Int. J. Math. Mathematical Sciences
- 2007

Let D= {z ∈ C : |z| < 1} be the open unit disk in the complex plane C. Let A2(D) be the space of analytic functions on D square integrable with respect to the measure dA(z) = (1/π)dx dy. Given a ∈D and f any measurable function on D, we define the function Ca f by Ca f (z) = f (φa(z)), where φa ∈ Aut(D). The map Ca is a composition operator on L2(D,dA) and… (More)

- Namita Das
- Int. J. Math. Mathematical Sciences
- 2009

Namita Das P. G. Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar, Orissa 751004, India Correspondence should be addressed to Namita Das, namitadas440@yahoo.co.in Received 23 July 2009; Revised 7 September 2009; Accepted 14 October 2009 Recommended by Palle Jorgensen We have shown that if the Toeplitz operator Tφ on the Bergman space La D… (More)

- Namita Das
- 2009

In this paper we consider a class of weighted integral operators on L 2 (0, ∞) and show that they are unitarily equivalent to little Hankel operators between weighted Bergman spaces of the right half plane. We use two parameters α, β ∈ (−1, ∞) and involve two weights to define Bergman spaces of the domain and range of the little Hankel operators. We… (More)

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