On an Equivalency of Rare Differentiation Bases of Rectangles
- Authors: Safaryan M.H.1,2
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Affiliations:
- Institute of Mathematics of Armenian NAS
- King Abdullah University of Science & Technology
- Issue: Vol 53, No 1 (2018)
- Pages: 56-60
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228140
- DOI: https://doi.org/10.3103/S1068362318010090
- ID: 228140
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Abstract
The paper considers differentiation properties of density bases formed of bounded open sets.We prove that two quasi-equivalent subbases of some density basis differentiate the same class of non-negative functions. Applications for bases formed of rectangles are discussed.
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About the authors
M. H. Safaryan
Institute of Mathematics of Armenian NAS; King Abdullah University of Science & Technology
Author for correspondence.
Email: mher.safaryan@gmail.com
Armenia, Yerevan; Thuwal