Most cited papers in Advanced Harmonic Analysis Research
What are the most cited papers in Advanced Harmonic Analysis Research?
The most cited paper in Advanced Harmonic Analysis Research is "Hitchhikerʼs guide to the fractional Sobolev spaces" (Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci, 2011), with 4,369 citations. Next come "Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I" (3,784) and "Hp spaces of several variables" (2,887).
Showing 50 of 100 papers. Every paper with more than 300 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Hitchhikerʼs guide to the fractional Sobolev spaces Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci · Bulletin des Sciences Mathématiques | 29 Dec 2011 | 4,369 |
| 2 | Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics | Nov 1959 | 3,784 |
| 3 | Hp spaces of several variables Charles Fefferman, E. M. Stein · Acta Mathematica | 1972 | 2,887 |
| 4 | Endpoint Strichartz estimates M. Keel, Terence Tao · American Journal of Mathematics | Oct 1998 | 2,081 |
| 5 | Commutator estimates and the euler and navier‐stokes equations Tosio Kato, Gustavo Henrique Santos Flores Ponce · Communications on Pure and Applied Mathematics | Oct 1988 | 1,919 |
| 6 | Weighted norm inequalities for the Hardy maximal function Benjamin Muckenhoupt · Transactions of the American Mathematical Society | 1972 | 1,738 |
| 7 | Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics | Feb 1964 | 1,318 |
| 8 | Generalized gradients and applications Frank H. Clarke · Transactions of the American Mathematical Society | 1975 | 1,180 |
| 9 | Weighted norm inequalities for maximal functions and singular integrals Ronald R. Coifman, Charles Fefferman · Studia Mathematica | 1974 | 1,125 |
| 10 | Hypoelliptic differential operators and nilpotent groups Linda Preiss Rothschild, E. M. Stein · Acta Mathematica | 1976 | 1,123 |
| 11 | Differentiability of Lipschitz Functions on Metric Measure Spaces Jeff Cheeger · Geometric and Functional Analysis | Aug 1999 | 1,066 |
| 12 | A discrete transform and decompositions of distribution spaces Michael Frazier, Bjorn D. Jawerth · Journal of Functional Analysis | Oct 1990 | 1,046 |
| 13 | Local behavior of solutions of quasi-linear equations James B Serrin · Acta Mathematica | 1964 | 1,033 |
| 14 | On convergence and growth of partial sums of Fourier series Lennart Carleson · Acta Mathematica | 1966 | 1,022 |
| 15 | Subelliptic estimates and function spaces on nilpotent Lie groups Gerald B. Folland · Arkiv för matematik | Dec 1975 | 1,022 |
| 16 | Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group Gerald B. Folland, E. M. Stein · Communications on Pure and Applied Mathematics | Jul 1974 | 982 |
| 17 | The local regularity of solutions of degenerate elliptic equations Eugene B. Fabes, Carlos E. Kenig, Raul Serapioni · Communications in Partial Differential Equations | 1982 | 948 |
| 18 | Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities Élliott H. Lieb | 2002 | 946 |
| 19 | Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds Jeff Cheeger, Mikhail Leonidovich Gromov, Michael Eugene Taylor · Journal of Differential Geometry | 1982 | 861 |
| 20 | The Lp-integrability of the partial derivatives of A quasiconformal mapping F. W. Gehring · Acta Mathematica | 1973 | 792 |
| 21 | L2 estimates and existence theorems for the $\bar \partial $ operator Lars Hörmander · Acta Mathematica | 1965 | 780 |
| 22 | Banach spaces related to integrable group representations and their atomic decompositions, I Hans Georg Feichtinger, Karlheinz Gröchenig · Journal of Functional Analysis | Oct 1989 | 730 |
| 23 | Weighted norm inequalities for the conjugate function and Hilbert transform Richard A. Hunt, Benjamin Muckenhoupt, Richard L. Wheeden · Transactions of the American Mathematical Society | 1973 | 725 |
| 24 | The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains Henri Berestycki, Louis Nirenberg, Srinivasa R. S. Varadhan · Communications on Pure and Applied Mathematics | 1994 | 703 |
| 25 | Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity Lutz W. Weis · Mathematische Annalen | Apr 2001 | 703 |
| 26 | Regularity for a class of non-linear elliptic systems Karen Uhlenbeck · Acta Mathematica | 1977 | 681 |
| 27 | Hardy's inequality with weights Benjamin Muckenhoupt · Studia Mathematica | 1972 | 671 |
| 28 | Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions Paolo Marcellini · Archive for Rational Mechanics and Analysis | Sep 1989 | 666 |
| 29 | Inequalities for strongly singular convolution operators Charles Fefferman · Acta Mathematica | 1970 | 646 |
| 30 | Introduction to H[p] spaces Paul Koosis · Andalas University Repository (Andalas University) | 1998 | 639 |
| 31 | Sobolev Embedding Theorems for Spaces Wk,p(x)(Ω) Xianling Fan, Jishen Shen, Dun Zhao · Journal of Mathematical Analysis and Applications | Oct 2001 | 620 |
| 32 | Regularity theory for fully nonlinear integro‐differential equations Luis A. Caffarelli, Luís Silvestre · Communications on Pure and Applied Mathematics | 13 Jan 2009 | 618 |
| 33 | Sobolev spaces on an arbitrary metric space Piotr Hajłasz · Potential Analysis | Aug 1996 | 602 |
| 34 | Boundary behavior of harmonic functions in non-tangentially accessible domains David S Jerison, Carlos E. Kenig · Advances in Mathematics | Oct 1982 | 592 |
| 35 | Sobolev embeddings with variable exponent D. E. Edmunds, Jiří Rákosník · Studia Mathematica | 2000 | 581 |
| 36 | On Some Simple Estimates of an Exponent of Regular Variation Peter A. Hall · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Sep 1982 | 579 |
| 37 | On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case J. Ginibre, G. Velo · Journal of Functional Analysis | Apr 1979 | 570 |
| 38 | Multilinear Calderón–Zygmund Theory Loukas Grafakos, Rodolfo H. Torres · Advances in Mathematics | 2002 | 560 |
| 39 | Lipschitz functions on spaces of homogeneous type Roberto A Macías, Carlos Segovia · Advances in Mathematics | Sep 1979 | 559 |
| 40 | Boundary problems for pseudo-differential operators L. Boutet de Monvel · Acta Mathematica | 1971 | 546 |
| 41 | Some new function spaces and their applications to Harmonic analysis Ronald R. Coifman, Yves Meyer, E. M. Stein · Journal of Functional Analysis | Jun 1985 | 525 |
| 42 | Martingales with values in uniformly convex spaces Gilles Pisier · Israel Journal of Mathematics | Sep 1975 | 505 |
| 43 | The Functional Calculus for Sectorial Operators Markus Haase · Birkhäuser Basel eBooks | 2006 | 489 |
| 44 | Space‐time estimates for null forms and the local existence theorem Sergiù Klainerman, Matei Machedon · Communications on Pure and Applied Mathematics | Oct 1993 | 487 |
| 45 | Maximal and singular integral operators via Fourier transform estimates Javier Duoandikoetxea, J.-L. Rubio de Francia · Inventiones mathematicae | Oct 1986 | 469 |
| 46 | Hardy‐Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces Eiichi Nakai · Mathematische Nachrichten | 1994 | 462 |
| 47 | Multilinear estimates and fractional integration Carlos E. Kenig, Elias M. Stein · Mathematical Research Letters | 1999 | 456 |
| 48 | Gradient estimates for a class of parabolic systems E. Acerbi, Giuseppe Mingione · Duke Mathematical Journal | 22 Dec 2006 | 452 |
| 49 | New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory Andrei K. Lerner, Sheldy Ombrosi, Carlos Pérez et al. · Advances in Mathematics | 14 Dec 2008 | 438 |
| 50 | Analyticity of sets associated to Lelong numbers and the extension of closed positive currents Yum-Tong Siu · Inventiones mathematicae | Mar 1974 | 437 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.