The Journal of the Indian Mathematical Society

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On Toeplitz-Like Operators in L2h


Affiliations
1 P.G. Dept. of Mathematics, Sambalpur University, Jyotivihar, Burla - 768019, Sambalpur, Orissa, India
     

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Let D = {z ∈ C : |z| < 1} be the open unit disc in the complex plane C. Let L2h(ID) be the subspace of functions in L2(D) that are harmonic. Let Q be the orthogonal projection of L2 onto L2h. For Φ ∈ L∞;(D), define LΦ from L2h into itself such that LΦf= Q(Φf). In this paper some algebraic properties of the Toeplitz-like operator LΦ are derived.
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  • On Toeplitz-Like Operators in L2h

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Authors

Namita Das
P.G. Dept. of Mathematics, Sambalpur University, Jyotivihar, Burla - 768019, Sambalpur, Orissa, India

Abstract


Let D = {z ∈ C : |z| < 1} be the open unit disc in the complex plane C. Let L2h(ID) be the subspace of functions in L2(D) that are harmonic. Let Q be the orthogonal projection of L2 onto L2h. For Φ ∈ L∞;(D), define LΦ from L2h into itself such that LΦf= Q(Φf). In this paper some algebraic properties of the Toeplitz-like operator LΦ are derived.