D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 32 Citations 5,565 115 World Ranking 2361 National Ranking 144

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Hilbert space
  • Pure mathematics

Lutz Weis mainly focuses on Banach space, Pure mathematics, Mathematical analysis, Bounded function and Operator theory. His work in Banach space tackles topics such as Stochastic evolution which are related to areas like Class. In most of his Pure mathematics studies, his work intersects topics such as Strong solutions.

His Bounded function study combines topics in areas such as Stochastic partial differential equation, Hilbert space and Lipschitz continuity. His Operator theory research includes elements of Structure, Type, Fourier analysis and Functional calculus, Calculus. His Fourier transform research incorporates themes from Semigroup, Analytic semigroup, Discrete mathematics and Resolvent.

His most cited work include:

  • Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity (573 citations)
  • The H ∞ −calculus and sums of closed operators (271 citations)
  • Stochastic integration in UMD Banach spaces (204 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Banach space, Pure mathematics, Discrete mathematics, Mathematical analysis and Bounded function. The various areas that Lutz Weis examines in his Banach space study include Space, Interpolation space, Hilbert space and Semigroup. His primary area of study in Pure mathematics is in the field of Functional calculus.

His work carried out in the field of Discrete mathematics brings together such families of science as Resolvent and Algebra. His research investigates the connection between Bounded function and topics such as Lipschitz continuity that intersect with issues in Domain. His Operator theory research incorporates elements of Fourier analysis and Bounded operator.

He most often published in these fields:

  • Banach space (50.00%)
  • Pure mathematics (45.69%)
  • Discrete mathematics (35.34%)

What were the highlights of his more recent work (between 2014-2019)?

  • Banach space (50.00%)
  • Pure mathematics (45.69%)
  • Discrete mathematics (35.34%)

In recent papers he was focusing on the following fields of study:

Lutz Weis mostly deals with Banach space, Pure mathematics, Discrete mathematics, Bounded function and Multiplier. His Banach space study combines topics from a wide range of disciplines, such as Interpolation space, Hilbert space, Sobolev space, Space and Functional calculus. His Pure mathematics research includes elements of Fourier analysis and Type.

His Discrete mathematics research includes themes of Hardy–Littlewood maximal function, Maximal function, Convolution and Square-integrable function. The Bounded function study combines topics in areas such as Uniqueness and Calculus. The study incorporates disciplines such as Semigroup and Resolvent in addition to Multiplier.

Between 2014 and 2019, his most popular works were:

  • Analysis in Banach Spaces (90 citations)
  • Stochastic Integration in Banach Spaces - a Survey (31 citations)
  • Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (28 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Hilbert space
  • Pure mathematics

Lutz Weis mainly investigates Banach space, Pure mathematics, Operator theory, Fourier analysis and Discrete mathematics. His work in the fields of Lp space overlaps with other areas such as Stochastic integration. His research in Operator theory intersects with topics in Nuclear operator, Convolution and Potential theory.

His research integrates issues of Interpolation space, Type, Square-integrable function and Hardy–Littlewood maximal function, Maximal function in his study of Discrete mathematics. The concepts of his Interpolation space study are interwoven with issues in Operator norm, Compact operator on Hilbert space, Finite-rank operator, Unbounded operator and Spectral theorem. His work deals with themes such as Fourier transform, Multiplier and Sobolev space, which intersect with Littlewood–Paley theory.

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.

Best Publications

Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity

Lutz Weis.
Mathematische Annalen (2001)

947 Citations

The H ∞ −calculus and sums of closed operators

N. J. Kalton;L. Weis.
Mathematische Annalen (2001)

413 Citations

Analysis in Banach Spaces

Tuomas Hytönen;Lutz Weis;Jan van Neerven;Mark Veraar.
(2016)

353 Citations

Maximal Lp-regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^\infty$-functional Calculus

Peer C. Kunstmann;Lutz Weis.
(2004)

347 Citations

The $H^{\infty}-$calculus and sums of closed operators

N.J. Kalton;L. Weis.
Mathematische Annalen (2001)

284 Citations

Stochastic integration in UMD Banach spaces

J.M.A.M. Van Neerven;Mark Veraar;Lutz Weis.
Annals of Probability (2007)

248 Citations

Stochastic evolution equations in UMD Banach spaces

J.M.A.M. Van Neerven;M.C. Veraar;L. Weis.
Journal of Functional Analysis (2008)

184 Citations

A New Approach to Maximal Lp -Regularity

Lutz Weis.
(2019)

184 Citations

Stochastic integration of functions with values in a Banach space

J. M. A. M. van Neerven;L. Weis.
Studia Mathematica (2005)

182 Citations

Operator–valued Fourier multiplier theorems on Besov spaces

Maria Girardi;Maria Girardi;Lutz Weis.
Mathematische Nachrichten (2003)

146 Citations

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