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 language | English |
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Pages (from-to) | 9487-9498 |
Number of pages | 12 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 43 |
Issue number | 16 |
DOIs | |
State | Published - 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).
Funders | Funder number |
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Russian foundation for fundamental research | 18‐01‐00094, 18‐51‐05009 |
Keywords
- Fourier transform
- Hausdorff operator
- adjoint operator
- approximation
- dilations
- distortion