On an Equivalency of Rare Differentiation Bases of Rectangles |
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| Authors: | M H Safaryan |
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| Institution: | 1.Institute of Mathematics of Armenian NAS,Yerevan State University,Yerevan,Armenia;2.King Abdullah University of Science & Technology,Thuwal,Saudi Arabia |
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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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