Singular integral operators of near-product-type on the Heisenberg group

DOI10.1016/j.jmaa.2006.04.046zbMath1111.43005OpenAlexW2061025718WikidataQ125847759 ScholiaQ125847759MaRDI QIDQ860659

Andrea Fraser

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.046

zbMATH Keywords

Heisenberg grouptransferenceproduct-type kernelsingular convolution operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Cites Work

• Singular integrals on product spaces
• Calderón-Zygmund operators on product spaces
• On the product theory of singular integrals
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• An (n + 1)– fold Marcinkiewicz multiplier theorem on the Heisenberg group
• Convolution kernels of (n + 1)-fold Marcinkiewicz multipliers on the Heisenberg group
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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