What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Classical Fourier Analysis (1066 citations)
- Classical and modern Fourier analysis (887 citations)
- Modern Fourier analysis (591 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (46.32%)
- Multilinear map (26.41%)
- Discrete mathematics (23.38%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (46.32%)
- Multiplier (17.32%)
- Multilinear map (26.41%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- Rough bilinear singular integrals (26 citations)
- Bilinear spherical maximal function (14 citations)
- A sharp version of the Hörmander multiplier theorem (10 citations)
In his most recent research, the most cited papers focused on:
- 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.
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