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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.