, Volume 7, Issue 3, pp 149–159 | Cite as

Convergence for Sequences of Functions and an Egorov Type Theorem

  • N. Papanastassiou
  • P. Kiriakouli


For every ordinal ξ<ω1 we define a new type of convergence for sequences of functions (ξ-uniform pointwise) which is intermediate between uniform and pointwise convergence. Using this type of convergence we obtain an Egorov type theorem for sequences of measurable functions.


Fourier Analysis Measurable Function Operator Theory Potential Theory Type Theorem 
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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • N. Papanastassiou
    • 1
  • P. Kiriakouli
    • 2
  1. 1.Department of MathematicsUniversity of AthensAthensGreece
  2. 2.AthensGreece

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