- Home
- Best Scientists - Mathematics
- Loukas Grafakos

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
9,307
211
World Ranking
1968
National Ranking
840

- Mathematical analysis
- Real number
- Hilbert space

His main research concerns Pure mathematics, Multilinear map, Mathematical analysis, Singular integral and Discrete mathematics. His studies link Bounded function with Pure mathematics. The Multilinear map study combines topics in areas such as Hardy–Littlewood maximal function and Multiplier.

Loukas Grafakos studies Mathematical analysis, namely Maximal function. His Singular integral research is multidisciplinary, relying on both Fourier analysis, Fourier transform and Type. His Fourier analysis study combines topics in areas such as Fourier series and Summation by parts.

- Classical Fourier Analysis (1066 citations)
- Classical and modern Fourier analysis (887 citations)
- Modern Fourier analysis (591 citations)

Loukas Grafakos spends much of his time researching Pure mathematics, Multilinear map, Discrete mathematics, Mathematical analysis and Bilinear interpolation. As part of his studies on Pure mathematics, Loukas Grafakos often connects relevant areas like Bounded function. His Multilinear map study combines topics from a wide range of disciplines, such as Lp space, Multivariable calculus and Interpolation.

His Discrete mathematics study incorporates themes from Norm and Interpolation space. His Mathematical analysis study often links to related topics such as Combinatorics. His research in Maximal function focuses on subjects like Singular integral, which are connected to Convolution.

- Pure mathematics (46.32%)
- Multilinear map (26.41%)
- Discrete mathematics (23.38%)

- Pure mathematics (46.32%)
- Multiplier (17.32%)
- Multilinear map (26.41%)

Pure mathematics, Multiplier, Multilinear map, Bilinear interpolation and Sobolev space are his primary areas of study. His studies deal with areas such as Range and Bounded function as well as Pure mathematics. The study incorporates disciplines such as Discrete mathematics, Fourier analysis, Fourier transform and Applied mathematics in addition to Multiplier.

His Fourier transform study integrates concerns from other disciplines, such as Function space and Measurable function. His Bilinear interpolation research integrates issues from Singular integral, Tensor product, Counterexample, Class and Wavelet. The various areas that Loukas Grafakos examines in his Singular integral study include Function and Unavailability.

- Rough bilinear singular integrals (26 citations)
- Bilinear spherical maximal function (14 citations)
- A sharp version of the Hörmander multiplier theorem (10 citations)

- Mathematical analysis
- Algebra
- Real number

His main research concerns Multiplier, Bilinear interpolation, Pure mathematics, Sobolev space and Maximal function. His work carried out in the field of Multiplier brings together such families of science as Discrete mathematics, Counterexample, Wavelet and Tensor product. His Bilinear interpolation research incorporates elements of Function, Singular integral and Combinatorics.

His Pure mathematics research focuses on Hardy space in particular. Fourier analysis and Partial differential equation is closely connected to Multilinear map in his research, which is encompassed under the umbrella topic of Sobolev space. His Maximal function research includes elements of Dimension and Maximal operator.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Classical Fourier Analysis

Loukas Grafakos.

**(2009)**

1982 Citations

Classical and modern Fourier analysis

Loukas Grafakos.

**(2003)**

1351 Citations

Modern Fourier analysis

Loukas Grafakos.

**(2009)**

1017 Citations

Multilinear Calderón–Zygmund Theory

Loukas Grafakos;Rodolfo H. Torres.

Advances in Mathematics **(2002)**

695 Citations

Maximal operator and weighted norm inequalities for multilinear singular integrals

Loukas Grafakos;Rodolfo H. Torres.

Indiana University Mathematics Journal **(2002)**

235 Citations

The Kato-Ponce Inequality

Loukas Grafakos;Seungly Oh.

Communications in Partial Differential Equations **(2014)**

209 Citations

Best constants for two nonconvolution inequalities

Michael Christ;Loukas Grafakos.

Proceedings of the American Mathematical Society **(1995)**

187 Citations

Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces

Oliver Dragicevic;Loukas Grafakos;María Cristina Pereyra;Stefanie Petermichl.

Publicacions Matematiques **(2005)**

160 Citations

Some remarks on multilinear maps and interpolation

Loukas Grafakos;Nigel Kalton.

Mathematische Annalen **(2001)**

157 Citations

L p BOUNDS FOR SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS WITH ROUGH KERNELS

Loukas Grafakos;Atanas Stefanov.

Indiana University Mathematics Journal **(1998)**

157 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Baylor University

University of Missouri

Beijing Normal University

University of Wisconsin–Madison

University of California, Los Angeles

University of California, Berkeley

University of California, Los Angeles

Institute of Mathematical Sciences

Washington University in St. Louis

University of Vienna

University of Virginia

Stanford University

Aalborg University

Sandia National Laboratories

Lancaster University

University of Modena and Reggio Emilia

University of Greifswald

Albert Einstein College of Medicine

University of Buenos Aires

University of Manchester

University of Pennsylvania

National Institutes of Health

University of Sydney

Harvard University

City, University of London

Something went wrong. Please try again later.