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Physical Sciences and Engineering Mathematics Analysis

Shifts of a measurable function and criterion of p-integrability

Article ID Journal Published Year Pages File Type
5773788 Journal of Approximation Theory 2017 10 Pages PDF
Abstract
It is shown that two conditions f(a+⋅)−f(⋅)∈Lp(R), and (sinb⋅)f(⋅)∈Lp(R) guarantee f∈Lp(R), 1≤p<∞, if and only if ab is not in (πZ).
Keywords
lp spaces46E30
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Shifts of a measurable function and criterion of p-integrability
Authors
Boris S. Mityagin,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
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46E30
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