\(L^p \rightarrow L^q\) bounds for spherical maximal operators

DOI10.1007/s00209-020-02546-0zbMath1461.42012arXiv1909.05389OpenAlexW3033329030MaRDI QIDQ2663068

Joris Roos, Andreas Seeger, Kevin Hughes, Theresa C. Anderson

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/1909.05389

zbMATH Keywords

Minkowski dimensionAssouad dimensionAssouad spectrumspherical maximal functionssparse domination\(L^p\)-improving estimates

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Harmonic analysis in several variables (42B99) Fractals (28A80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (13)

Maximal estimates for averages over space curves ⋮ \(L^p -L^q\) estimates for generalized spherical averages ⋮ Spherical maximal operators on Heisenberg groups: Restricted dilation sets ⋮ Pointwise convergence of sequential Schrödinger means ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra ⋮ Bilinear maximal functions associated with degenerate surfaces ⋮ Sparse bounds for the bilinear spherical maximal function ⋮ Spherical maximal functions and fractal dimensions of dilation sets ⋮ On the Korányi spherical maximal function on Heisenberg groups ⋮ \(L^p-L^q\) estimates for the circular maximal operator on Heisenberg radial functions ⋮ The Assouad spectrum of Kleinian limit sets and patterson-Sullivan measure ⋮ \(L^p\)-improving bounds and weighted estimates for maximal functions associated with curvature

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