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Keyword

Lp boundedness

Description: Lp boundedness is a property of an operator that maps functions in an Lp space to functions with controlled Lp norm, studied in harmonic analysis.
OpenAlex ID: keywords/lp-boundedness
Cauchy integrals on Lipschitz curves and related operators
1977 · A. P. Calderón · Proceedings of the National Academy of Sciences · 389
Maximal functions: Spherical means
1976 · Elias M. Stein · Proceedings of the National Academy of Sciences · 344
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Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals
1987 · Fulvio Ricci, E.M Stein · Journal of Functional Analysis · 248
Riesz transform on manifolds and heat kernel regularity
2004 · P AUSCHER, T COULHON, et al. · Annales Scientifiques de l École Normale Supérieure · 244
A note on spherical summation multipliers
1973 · Charles Fefferman · Israel Journal of Mathematics · 244
Riesz transforms for $1\le p\le 2$
1999 · Thierry Coulhon, Xuan Thinh Duong · Transactions of the American Mathematical Society · 239
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Singular integral operators with non-smooth kernels on irregular domains
1999 · Xuan Thinh Duong, Alan G.R. McIntosh · Revista Matemática Iberoamericana · 234
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The Kakeya Maximal Function and the Spherical Summation Multipliers
1977 · Antonio Cordoba · American Journal of Mathematics · 225
New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
2005 · Xuan Thinh Duong, Lixin Yan · Communications on Pure and Applied Mathematics · 218
An Introduction to Pseudo-Differential Operators
1991 · M W Wong · WORLD SCIENTIFIC eBooks · 199
On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
1975 · H.O Cordes · Journal of Functional Analysis · 188
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An improved bound for Kakeya type maximal functions
1995 · Thomas H. Wolff · Revista Matemática Iberoamericana · 183
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Riesz transform, Gaussian bounds and the method of wave equation
2004 · Adam Sikora · Mathematische Zeitschrift · 170
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L p bounds for pseudo-differential operators
1973 · Charles Fefferman · Israel Journal of Mathematics · 164
A Singular Integral
1986 · Javad Namazi · Proceedings of the American Mathematical Society · 161
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Spectral Multipliers on Lie Groups of Polynomial Growth
1994 · G. Alexopoulos · Proceedings of the American Mathematical Society · 153
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Bounds of Riesz Transforms on L p Spaces for Second Order Elliptic Operators
2005 · Zhongwei Shen · Annales de l’institut Fourier · 152
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities
2017 · A. N. Iusem, A. Jofré, et al. · SIAM Journal on Optimization · 145
Regularity of the Fractional Maximal Function
2003 · JUHA KINNUNEN, EERO SAKSMAN · Bulletin of the London Mathematical Society · 142
L^p bounds for singular integrals and maximal singular integrals with rough kernels
1998 · Loukas Grafakos, Atanas Stefanov · Indiana University Mathematics Journal · 131
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On multilinear fractional integrals
1992 · Loukas Grafakos · Studia Mathematica · 122
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Riesz transform and Riesz potentials for Dunkl transform
2006 · Sundaram Thangavelu, Yuan Xu · Journal of Computational and Applied Mathematics · 116
$L\sp p$ bounds for spectral multipliers on nilpotent groups
1991 · Michael Christ · Transactions of the American Mathematical Society · 116
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L p -Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels
2000 · Yong Ding, Dashan Fan, et al. · Acta Mathematica Sinica English Series · 115
Lp and BMO Bounds of Weighted Hardy–Littlewood Averages
2001 · J Xiao · Journal of Mathematical Analysis and Applications · 112
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Works count: 1,813
Citation count: 18,560
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