Defining Hausdorff operators on Euclidean spaces | Zendy

Karapetyants Alexey | Zendy; Liflyand Elijah | Zendy

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Defining Hausdorff operators on Euclidean spaces

Author(s) -

Karapetyants Alexey,

Liflyand Elijah

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6448

Subject(s) - mathematics , hausdorff space , urysohn and completely hausdorff spaces , euclidean geometry , hausdorff distance , operator (biology) , pure mathematics , variety (cybernetics) , algebra over a field , hausdorff measure , hausdorff dimension , mathematical analysis , geometry , biochemistry , chemistry , statistics , repressor , transcription factor , gene

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.

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