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Locally defined operators in the space of Ck,ω-functions

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Veröffentlicht/Copyright: 23. Mai 2020
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Abstract

For a closed set A ⊂ ℝn a representation theorem for locally defined operators maping the space Ck,ω(A) consisting of all k-times continuously differentiable functions on A whose k-th derivatives have modulus of continuity ω into C0,ω(A) is presented.

MSC 2010: Primary 47H30
  1. Communicated by Tomasz Natkaniec

References

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Received: 2019-07-03
Accepted: 2019-10-21
Published Online: 2020-05-23
Published in Print: 2020-06-25

© 2020 Mathematical Institute Slovak Academy of Sciences

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