Two-parameter maximal functions in the Heisenberg group

DOI10.1007/BF01161645zbMath0638.42019MaRDI QIDQ1099356

Peter Sjögren, Fulvio Ricci

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173988

zbMATH Keywords

Heisenberg groupmaximal operatorssingular integral operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (19)

Necessary condition on weights for maximal and integral operators with rough kernels ⋮ Unnamed Item ⋮ Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II ⋮ Fractional series operators on discrete Hardy spaces ⋮ On fractional operators with more than one singularity ⋮ Boundedness of commutators of integral operators of fractional type and \(M_{\alpha, L^r \log L}\) maximal operator in variable Lebesgue spaces ⋮ Weighted estimates for generalized Riesz potentials ⋮ Commutators for certain fractional type operators on weighted spaces and Orlicz-Morrey spaces ⋮ Weighted inequalities for fractional type operators with some homogeneous kernels ⋮ Commutators of certain fractional type operators with Hörmander conditions, one-weighted and two-weighted inequalities ⋮ Analysis of second order differential operators on Heisenberg groups. I ⋮ Weighted inequalities for integral operators on Lebesgue and \(BMO^{\gamma }(\omega )\) spaces ⋮ On the H p -L q boundedness of some fractional integral operators ⋮ Marcinkiewicz multiplier theorem for the Weyl functional calculus ⋮ The Strong Maximal Function on a Nilpotent Group ⋮ Weighted inequalities for integral operators with some homogeneous kernels ⋮ Generalized multilinear Hausdorff operators on the Heisenberg group ⋮ On theH^p-L^p-boundedness of some integral operators ⋮ Weighted estimates for integral operators on local type spaces

Cites Work

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• Unnamed Item
• Estimates for singular convolution operators on the Heisenberg group
• Convergence for the square root of the Poisson kernel
• Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
• Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces
• L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group
• Problems in harmonic analysis related to curvature
• H² spaces of generalized half-planes

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