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- Marius Mitrea

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D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
42
Citations
5,565
205
World Ranking
1234
National Ranking
565

2021 - Fellow of the American Mathematical Society For contributions to partial differential equations and related subjects.

- Mathematical analysis
- Pure mathematics
- Hilbert space

His main research concerns Mathematical analysis, Lipschitz continuity, Lipschitz domain, Laplace operator and Boundary value problem. He interconnects Interpolation space and Pure mathematics in the investigation of issues within Mathematical analysis. His work carried out in the field of Pure mathematics brings together such families of science as Space and Measure.

The concepts of his Lipschitz continuity study are interwoven with issues in Riemannian manifold, Type, Boundary, Bounded function and Sobolev space. His Boundary research integrates issues from Class and Constant coefficients. His Lipschitz domain research is multidisciplinary, incorporating elements of Dirichlet problem, Laplace–Beltrami operator and Domain.

- Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (219 citations)
- Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains (191 citations)
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds (147 citations)

His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Lipschitz continuity, Lipschitz domain and Boundary value problem. The Pure mathematics study combines topics in areas such as Space, Type and Dirichlet distribution. His Lipschitz continuity research incorporates themes from Dirichlet problem, Boundary, Bounded function, Sobolev space and Laplace operator.

Marius Mitrea combines subjects such as Class and Differential operator with his study of Boundary. His research integrates issues of Operator theory and Besov space in his study of Lipschitz domain. His research in Boundary value problem intersects with topics in Disjoint sets and Operator.

- Mathematical analysis (57.84%)
- Pure mathematics (42.65%)
- Lipschitz continuity (41.67%)

- Pure mathematics (42.65%)
- Mathematical analysis (57.84%)
- Hardy space (16.67%)

Marius Mitrea focuses on Pure mathematics, Mathematical analysis, Hardy space, Lipschitz continuity and Elliptic systems. His Pure mathematics study integrates concerns from other disciplines, such as Dirichlet problem and Type. His Type research is multidisciplinary, incorporating perspectives in Scheme, Pointwise, Boundary value problem and Euclidean space.

His research on Mathematical analysis often connects related topics like Of the form. The Atomic decomposition research he does as part of his general Hardy space study is frequently linked to other disciplines of science, such as Context, therefore creating a link between diverse domains of science. His Lipschitz continuity research includes elements of Boundary and Dirichlet distribution.

- The method of layer potentials in Lp and endpoint spaces for elliptic operators with L∞ coefficients (45 citations)
- Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces (28 citations)
- Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory (23 citations)

- Mathematical analysis
- Pure mathematics
- Hilbert space

The scientist’s investigation covers issues in Pure mathematics, Hardy space, Mathematical analysis, Dirichlet problem and Lp space. His studies in Hardy space integrate themes in fields like Scheme, Type, Extrapolation and Euclidean space. Marius Mitrea performs integrative study on Mathematical analysis and Layer.

His study in Dirichlet problem is interdisciplinary in nature, drawing from both Sobolev space, Lipschitz continuity and Poisson kernel. His work on Lipschitz domain as part of general Lipschitz continuity study is frequently linked to Borel functional calculus, therefore connecting diverse disciplines of science. His work deals with themes such as Interpolation space, Fréchet space, Birnbaum–Orlicz space, Topological tensor product and Space, which intersect with Lp space.

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.

Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

Steve Hofmann;Guozhen Lu;Dorina Mitrea;Marius Mitrea.

**(2011)**

291 Citations

Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains

Eugene Fabes;Osvaldo Mendez;Marius Mitrea.

Journal of Functional Analysis **(1998)**

238 Citations

Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds

Dorina Mitrea;Marius Mitrea;Michael Taylor.

Memoirs of the American Mathematical Society **(2001)**

218 Citations

Clifford Wavelets, Singular Integrals, and Hardy Spaces

Marius Mitrea.

**(1994)**

209 Citations

Boundary layer methods for Lipschitz domains in Riemannian manifolds

Marius Mitrea;Michael Taylor.

Journal of Functional Analysis **(1999)**

175 Citations

Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem

Marius Mitrea;Michael Taylor.

Journal of Functional Analysis **(2000)**

163 Citations

Stability results on interpolation scales of quasi-Banach spaces and applications

Nigel Kalton;Marius Mitrea;Marius Mitrea.

Transactions of the American Mathematical Society **(1998)**

150 Citations

Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains

Steve Hofmann;Marius Mitrea;Michael Taylor.

International Mathematics Research Notices **(2009)**

147 Citations

Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering

Dorina Mitrea;Marius Mitrea;Jill Pipher.

Journal of Fourier Analysis and Applications **(1997)**

146 Citations

Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

Fritz Gesztesy;Marius Mitrea.

arXiv: Analysis of PDEs **(2008)**

130 Citations

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