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While the Bedrosian identity for the Hilbert transform of a product does not hold for general Sobolev class functions, we show that the defect of this identity is more regular… Click to show full abstract
While the Bedrosian identity for the Hilbert transform of a product does not hold for general Sobolev class functions, we show that the defect of this identity is more regular than would be naively expected. We use this result to give a stronger-than-expected estimate on the chain rule defect of the square root of the Laplacian.
Keywords:
sobolev space;
estimate bedrosian;
bedrosian commutator;
commutator sobolev
Journal Title: Journal of Inequalities and Applications
Year Published: 2018
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Journal Title: Journal of Inequalities and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!