S. Petermichl

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 11 papers; trusts 17 researchers and is trusted by 48 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 49 citations into it; #133 of 7,620 by trust here, #175 by citations
• Mathematical Physics — 20 citations into it; #1,616 of 8,562 by trust here, #1,097 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom S. Petermichl trusts overall

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

1. Alexander Volberg
2. Fedor Nazarov
3. Oliver Dragičević
4. Sergei Treil
5. Loukas Grafakos
6. Tuomas Hytönen
7. Henri Martikainen
8. O. Beznosova
9. Kari ASTALA *
10. V. Vasyunin

Who trusts S. Petermichl overall

1. Andrei K. Lerner
2. Tuomas Hytönen
3. D. Cruz-Uribe
4. Michael T. Lacey
5. C. P'erez
6. Kabe Moen
7. J. M. Martell
8. Alexander Volberg
9. I. Holmes
10. Sergei Treil

Papers from S. Petermichl's perspective

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

1. A sharp estimate on the norm of the martingale transform
2. Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
3. Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
4. Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
5. Classical and modern Fourier analysis
6. The sharp constant in the reverse Hölder inequality for Muckenhoupt weights
7. Bellman function in stochastic control and harmonic analysis
8. Representation of bi-parameter singular integrals by dyadic operators
9. Bi-parameter paraproducts
10. Commutators in the two-weight setting

Their papers

• Weighted little bmo and two-weight inequalities for Journé commutators (2017) — 56 citations
• Convex body domination and weighted estimates with matrix weights (2017) — 75 citations
• Sharp weighted norm estimates beyond Calderón–Zygmund theory (2015) — 155 citations
• Sharp A2 inequality for Haar shift operators (2009) — 121 citations
• The sharp weighted bound for the Riesz transforms (2007) — 148 citations
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic (2007) — 257 citations
• Multiparameter Riesz commutators (2007) — 58 citations
• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces (2005) — 164 citations
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular (2002) — 236 citations
• Why the Riesz transforms are averages of the dyadic shifts (2002) — 53 citations
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol (2000) — 164 citations