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Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood’s Subordination Theorem

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Abstract

In this paper we study some basic properties of bicomplex linear operators on bicomplex Hilbert spaces. Further, we introduce the notion of bicomplex quotient modules and annihilators of submodules of a bicomplex module. We also introduce and discuss some bicomplex holomorphic function spaces and prove Littlewood’s Subordination Principle for bicomplex Hardy space.

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Authors and Affiliations

  1. Department of Mathematics, University of Jammu, Jammu, J&K, 180 006, India

    Romesh Kumar & Kulbir Singh

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  1. Romesh Kumar
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  2. Kulbir Singh
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Correspondence to Romesh Kumar.

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Kumar, R., Singh, K. Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood’s Subordination Theorem. Adv. Appl. Clifford Algebras 25, 591–610 (2015). https://doi.org/10.1007/s00006-015-0531-3

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  • DOI: https://doi.org/10.1007/s00006-015-0531-3

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