To M. de Guzmán's question on Fourier multipliers of polygonal domains

DOI10.1007/BF02106845zbMath0857.42005MaRDI QIDQ1920875

Alexander Stokolos

Publication date: 26 February 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fourier transformpolygonal domain\(L^ p\)-multiplier

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15)

Related Items

(Un)boundedness of directional maximal operators through a notion of “Perron capacity” and an application

Cites Work

• Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets
• Weak estimates on maximal functions with rectangles in certain directions
• The multiplier problem for the ball
• Properties of Littlewood-Paley sets
• On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis
• Differentiation in lacunary directions
• Weighted inequalities for square and maximal functions in the plane
• Shorter Notes: A Note on Fourier Multipliers
• Oscillatory integrals and multiplier problem for the disc
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