Maximal functions and Fourier transforms
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Publication:1088101
DOI10.1215/S0012-7094-86-05324-XzbMath0612.42008MaRDI QIDQ1088101
Publication date: 1986
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
Related Items (39)
Maximal multiplier operators in \(L^{p(\cdot)}(\mathbb{R}^n)\) spaces ⋮ New bounds on Cantor maximal operators ⋮ Sharp maximal estimates for doubly oscillatory integrals ⋮ Low-Dimensional maximal restriction principles for the Fourier transform ⋮ Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets ⋮ Global range estimates for maximal oscillatory integrals with radial test functions ⋮ Bilinear Bochner-Riesz square function and applications ⋮ The triangle averaging operator ⋮ On some properties of sparse sets: a survey ⋮ Maximal operators associated with Fourier multipliers and applications ⋮ Bilinear maximal functions associated with degenerate surfaces ⋮ Cwikel's bound reloaded ⋮ Oscillation inequalities for Radon averages ⋮ Averages over hypersurfaces. Smoothness of generalized Radon transforms ⋮ \(\ell^p\)-improving for discrete spherical averages ⋮ Regularity of fractional maximal functions through Fourier multipliers ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator ⋮ On the spherical maximal function on finite graphs ⋮ Improved ℓp -Boundedness for Integral k -Spherical Maximal Functions ⋮ A maximal Fourier integral operator and an application ⋮ Maximal operators and differentiation theorems for sparse sets ⋮ Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type ⋮ \(L^p\) boundedness for parabolic Littlewood-Paley operators with rough kernels belonging to block spaces ⋮ A note on the behavior of the Dunkl maximal operator ⋮ Maximal operators and decoupling for Λ(p) Cantor measures ⋮ A variational restriction theorem ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ Regularity of averages over hypersurfaces ⋮ The spherical ergodic theorem revisited ⋮ Maximal operators associated with commutators of spherical means ⋮ Bounds for discrete multilinear spherical maximal functions ⋮ Almost everywhere convergence of quasiradial Bochner-Riesz means ⋮ Maximal operators associated to Fourier multipliers with an arbitrary set of parameters ⋮ Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators ⋮ Multilinear spherical maximal function ⋮ Bilinear maximal functions associated with surfaces ⋮ Maximal operators and Fourier transforms of self-similar measures
Cites Work
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- Averages of functions over hypersurfaces in \(\mathbb R^n\)
- Estimates for translation invariant operators in \(L^p\) spaces
- The boundedness of the maximal Bochner-Riesz operator on \(L^ 4\)(\(R^ 2\))
- Calderón-Zygmund theory for operator-valued kernels
- A note on approximation of the identity
- Maximal functions: Spherical means
- Problems in harmonic analysis related to curvature
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