The Strong Maximal Function on a Nilpotent Group
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Publication:3993840
DOI10.2307/2153994zbMath0765.43002OpenAlexW4240638621MaRDI QIDQ3993840
Publication date: 13 August 1992
Full work available at URL: https://doi.org/10.2307/2153994
Maximal functions, Littlewood-Paley theory (42B25) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items
Bi-Invariant Dissimilarity Measures for Sample Distributions in Lie Groups, Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II, Multi-parameter singular Radon transforms. I: The \(L^2\) theory, Multi-parameter singular Radon transforms. II: The \(L^p\) theory, Analysis and applications: The mathematical work of Elias Stein, Marcinkiewicz multiplier theorem for the Weyl functional calculus, The limiting weak-type behaviors of the strong maximal operators, Multiparameter singular integrals and maximal functions, \(L^p\)-multipliers sensitive to the group structure on nilpotent Lie groups, Analysis of joint spectral multipliers on Lie groups of polynomial growth, Multi-parameter singular Radon transforms III: Real analytic surfaces
Cites Work
- Averages in the plane over convex curves and maximal operators
- Boundary behavior of harmonic functions on symmetric spaces: maximal estimates for Poisson integrals
- Hilbert integrals, singular integrals, and Radon transforms. I
- Two-parameter maximal functions in the Heisenberg group
- Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
- Hilbert transforms along curves. II: A flat case
- Hypoelliptic differential operators and nilpotent groups
- Singular integrals related to the Radon transform and boundary value problems
- Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces
- Oscillatory singular integrals and harmonic analysis on nilpotent groups
- Problems in harmonic analysis related to curvature
