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    • Graduate School - MU Theses and Dissertations (MU)
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    • 2005 Dissertations (MU)
    • 2005 MU dissertations - Freely available online
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    The absolute functional calculus for sectorial operators

    Kucherenko, Tamara
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    [PDF] short.pdf (13.53Kb)
    [PDF] research.pdf (452.9Kb)
    Date
    2005
    Format
    Thesis
    Metadata
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    Abstract
    We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem and hence demonstrate the power and usefulness of our new concept. In trying to characterize spaces where sectorial operators have absolute calculus, we find that certain real interpolation spaces play a central role. We are then extending various known results in this setting. The idea of unifying theorems about sectorial operators on real interpolation spaces permeates our work and opens paths for future research on this subject.
    URI
    https://hdl.handle.net/10355/4155
    https://doi.org/10.32469/10355/4155
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License. Copyright held by author.
    Collections
    • 2005 MU dissertations - Freely available online
    • Mathematics electronic theses and dissertations (MU)

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