P. Kunstmann

Applied Mathematics · 2001–2012

A researcher in the Science corpus: 9 papers; trusts 15 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 26 citations into it; #586 of 7,620 by trust here, #542 by citations
• Mathematical Physics — 20 citations into it; #954 of 8,562 by trust here, #494 by citations
• Computational Theory and Mathematics — 5 citations into it; #2,335 of 12,182 by trust here, #3,218 by citations

Whom P. Kunstmann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Sönke Blunck
2. P. Auscher
3. Lutz Weis
4. Nigel J. Kalton
5. M. Cowling
6. Adam S. Sikora
7. T. Coulhon
8. Xuan Thinh Duong
9. Peng Chen
10. S. Hofmann

Who trusts P. Kunstmann overall

1. J. V. Neerven
2. P. Auscher
3. M. Meyries
4. S. Hofmann
5. Mark Veraar
6. Robert Denk
7. V. Keyantuo
8. Sönke Blunck
9. Ildoo Kim
10. T. Coulhon

Papers from P. Kunstmann's perspective

Ordered by how strongly the researchers P. Kunstmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. The solution of the Kato square root problem for second order elliptic operators on Rn
2. Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity
3. The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $
4. Analyticity and Discrete Maximal Regularity on Lp-Spaces☆
5. Generalized Gaussian estimates and the Legendre transform
6. The H ∞ −calculus and sums of closed operators
7. Perturbation theorems for maximal $L_p$-regularity
8. Maximal regularity of discrete and continuous time evolution equations
9. A Hörmander-type spectral multiplier theorem for operators without heat kernel
10. Hardy spaces associated to operators satisfying Davies–Gaffney estimates and bounded holomorphic functional calculus☆

Their papers

• Maximal Lp-regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^\infty$-functional Calculus (2004) — 422 citations
• Spectral multiplier theorems of H\"ormander type on Hardy and Lebesgue spaces (2012) — 58 citations
• Erratum to: Perturbation and interpolation theorems for the H∞-calculus with applications to differential operators (2006) — 63 citations
• Generalized Gaussian estimates and the Legendre transform (2005) — 59 citations
• Weak type (p,p) estimates for Riesz transforms (2004) — 65 citations
• Functional Analytic Methods for Evolution Equations (2004) — 314 citations
• Calderón-Zygmund theory for non-integral operators and the $H^{\infty}$ functional calculus (2003) — 106 citations
• Weighted norm estimates and maximal regularity (2002) — 54 citations
• Perturbation theorems for maximal $L_p$-regularity (2001) — 76 citations