• Title/Summary/Keyword: Operators

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ALMOST REGULAR OPERATORS ARE REGULAR

  • Bermudez, Teresa;Gonzalez, Manuel
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.205-210
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    • 2001
  • We give a characterization of regular operators that allows us to prove that a bounded operator acting between Banach spaces is almost regular if and only if it is regular, solving an open problem in [5]. As an application, we show that some operators in the closure of the set of all regular operators are regular.

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TOEPLITZ OPERATORS ON HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES

  • Yi, HeungSu
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.271-280
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    • 1999
  • We study Toeplitz operators on the harmonic Bergman Space $b^p(\mathbf{H})$, where $\mathbf{H}$ is the upper half space in $\mathbf{R}(n{\geq}2)$, for 1 < $p$ < ${\infty}$. We give characterizations for the Toeplitz operators with positive symbols to be bounded.

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SANDWICH-TYPE THEOREMS FOR A CLASS OF INTEGRAL OPERATORS ASSOCIATED WITH MEROMORPHIC FUNCTIONS

  • Cho, Nak-Eun
    • East Asian mathematical journal
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    • v.28 no.3
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    • pp.321-332
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    • 2012
  • The purpose of the present paper is to investigate some subordination and superordination preserving properties of certain integral operators de ned on the space of meromorphic functions in the puncture open unit disk. The sandwich-type theorems for these integral operators are also presented.

q-Analogue of Exponential Operators and Difference Equations

  • Asif, Mohammad
    • Kyungpook Mathematical Journal
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    • v.53 no.3
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    • pp.349-369
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    • 2013
  • The present paper envisages the $q$-analogue of the exponential operators, determined by G. Dattoli and his collaborators for translation and diffusive operators which were utilized to establish analytical solutions of difference and integral equations. The generalization of their technique is expected to cover wide range of such utilization.