Keyword

maximal operators

Description: Maximal operators are mathematical operators defined by taking suprema over families of functions or transformations, studied in analysis and operator theory.

Primary topic: Advanced Harmonic Analysis Research (84%)

OpenAlex ID: keywords/maximal-functions

Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals

2002 · Elias M. Stein, Timothy S Murphy · Medical Entomology and Zoology · 5,656

Lectures on Analysis on Metric Spaces

2001 · Juha Heinonen · Universitext · 2,013

Classical Fourier Analysis

2014 · Loukas Grafakos · Graduate texts in mathematics · 1,981

Hardy spaces on homogeneous groups

1982 · Gerald B. Folland, Elias M. Stein · Medical Entomology and Zoology · 1,264

Weighted norm inequalities for maximal functions and singular integrals

1974 · R. Coifman, C. Fefferman · Studia Mathematica · 1,057

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Classical and modern Fourier analysis

2003 · Loukas Grafakos · 981

Real-Variable Methods in Harmonic Analysis

1986 · Alberto Torchinsky · 925

Ergodic Theory

1983 · Karl E. Petersen · Cambridge University Press eBooks · 535

Problems in harmonic analysis related to curvature

1978 · Elias M. Stein, Stephen Wainger · Bulletin of the American Mathematical Society · 490

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Fourier Integrals in Classical Analysis

2017 · Christopher D. Sogge · Cambridge University Press eBooks · 480

Some new function spaces and their applications to Harmonic analysis

1985 · R.R Coifman, Y Meyer, et al. · Journal of Functional Analysis · 477

Fourier Integrals in Classical Analysis

1993 · Christopher D. Sogge · Cambridge University Press eBooks · 459

Unbounded Linear Operators

1990 · Israel Gohberg, Seymour Goldberg, et al. · Birkhäuser Basel eBooks · 454

Maximal and singular integral operators via Fourier transform estimates

1986 · Javier Duoandikoetxea, Jos� L. Rubio de Francia · Inventiones mathematicae · 452

On Certain Convolution Inequalities

1972 · Lars Inge Hedberg · Proceedings of the American Mathematical Society · 437

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A maximal theorem with function-theoretic applications

1930 · G. H. Hardy, J. E. Littlewood · Acta Mathematica · 400

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The boundedness of classical operators on variable L-p spaces

2006 · David Cruz-Uribe, Alberto Fıorenza, et al. · Annales Fennici Mathematici · 377

Maximal Functions Associated to Filtrations

2001 · Michael Christ, Alexander Kiselev · Journal of Functional Analysis · 370

Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities

1993 · Stephen M. Buckley · Transactions of the American Mathematical Society · 353

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A characterization of a two-weight norm inequality for maximal operators

1982 · Eric Sawyer · Studia Mathematica · 351

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Maximal functions: Spherical means

1976 · Elias M. Stein · Proceedings of the National Academy of Sciences · 344

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Duality of Hardy and BMO spaces associated with operators with heat kernel bounds

2005 · Xuan Duong, Lixin Yan · Journal of the American Mathematical Society · 324

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Schrödinger equations: pointwise convergence to the initial data

1988 · Luis Vega · Proceedings of the American Mathematical Society · 304

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Averages in the plane over convex curves and maximal operators

1986 · J. Bourgain · Journal d Analyse Mathématique · 304

Weighted Inequalities in Lorentz and Orlicz Spaces

1991 · Vakhtang Kokilashvili, Miroslav Krbec · WORLD SCIENTIFIC eBooks · 297

Works count: 3,391

Citation count: 55,270