Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group

DOI10.2307/2001678zbMath0726.43009OpenAlexW4235131355MaRDI QIDQ3350141

Loukas Grafakos

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001678

zbMATH Keywords

Hardy spaceHeisenberg grouphomogeneous distributionDirac distributionstrong type (p,p)singular convolution operatorweak type \(H^ 1\)

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (1)

Strong Type Endpoint Bounds for Analytic Families of Fractional Integrals

Cites Work

• Unnamed Item
• Estimates for singular convolution operators on the Heisenberg group
• Weak type (1,1) bounds for rough operators. II
• Characterization of \(H^ 1\) by singular integrals: Necessary conditions
• Weak type (1,1) bounds for rough operators
• Weak (1,1) bounds for oscillatory singular integrals
• Endpoint bounds for an analytic family of Hilbert transforms
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Singular convolution operators on the Heisenberg group
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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