Spherical maximal operator on symmetric spaces, an end point estimate

DOI10.1016/S0019-3577(03)90072-3zbMath1048.43010MaRDI QIDQ1433183

P. K. Ratnakumar

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

symmetric spacesradial functionsspherical maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85)

Cites Work

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• Averages in the plane over convex curves and maximal operators
• Pointwise ergodic theorems for radial averages on simple Lie groups. II
• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• Pointwise ergodic theorems for radial averages on simple Lie groups. I
• Analogs of Wiener's ergodic theorems for semisimple groups. I
• Fourier integral operators on noncompact symmetric spaces of real rank one
• The convolution structure for Jacobi function expansions
• A Note on the Spherical Maximal Operator for Radial Functions
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature
• Spherical maximal operator on symmetric spaces of constant curvature
• Fundamental solutions of invariant differential operators on symmetric spaces

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