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An estimate on the Bedrosian commutator in Sobolev space

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Publication:2061494
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DOI10.1186/s13660-018-1940-3zbMath1498.44008OpenAlexW2904650061WikidataQ60301667 ScholiaQ60301667MaRDI QIDQ2061494

Marcel Oliver

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1940-3


zbMATH Keywords

Sobolev spaceBanach algebraBedrosian identity


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Dirichlet series, exponential series and other series in one complex variable (30B50) Hardy spaces (30H10)




Cites Work

  • Unnamed Item
  • The Bedrosian identity and homogeneous semi-convolution equations
  • Characterizations of mono-components: the Blaschke and starlike types
  • Nonlinear phase unwinding of functions
  • Adaptive Fourier series---a variation of greedy algorithm
  • Boundary derivatives of the phases of inner and outer functions and applications
  • A necessary and sufficient condition for a Bedrosian identity
  • The Bedrosian identity for the Hilbert transform of product functions


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