Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on R2

Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on R2

We consider Fourier multipliers in R 2 with singularities on certain curves, which are closely related to the Bochner–Riesz Fourier multipliers. We prove weighted inequalities and vector valued inequalities for the Fourier multiplier operators which generalize some known results.

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Veröffentlicht in:Acta mathematica Hungarica 2023, Vol.171 (2), p.301-324
1. Verfasser: Sato, S.
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Mathematics
Mathematics and Statistics
Multipliers
Operators
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Beschreibung
Zusammenfassung:We consider Fourier multipliers in R 2 with singularities on certain curves, which are closely related to the Bochner–Riesz Fourier multipliers. We prove weighted inequalities and vector valued inequalities for the Fourier multiplier operators which generalize some known results.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-023-01390-y