Defining Hausdorff operators on Euclidean spaces

Alexey Karapetyants, Elijah Liflyand

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

After 2000, an interest in the Hausdorff operators grew, first of all in the sense of a diversity of spaces on which these operators were considered. We try to introduce a ‘correct’ definition of the Hausdorff operator on Euclidean spaces. This is supplemented by a variety of known and possible applications.

Original languageEnglish
Pages (from-to)9487-9498
Number of pages12
JournalMathematical Methods in the Applied Sciences
Volume43
Issue number16
DOIs
StatePublished - 15 Nov 2020

Bibliographical note

Publisher Copyright:
© 2020 John Wiley & Sons, Ltd.

Funding

Alexey Karapetyants is partially supported by the Russian Foundation for Fundamental Research (Grants 18‐01‐00094 and 18‐51‐05009).

FundersFunder number
Russian foundation for fundamental research18‐01‐00094, 18‐51‐05009

    Keywords

    • Fourier transform
    • Hausdorff operator
    • adjoint operator
    • approximation
    • dilations
    • distortion

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