Henri Martikainen

Akatemiatutkija
Akademiforskare
Academy research fellow

CV

Publication List

arXiv preprints

Google Scholar

ORCID

Conferences

Harmonic Analysis and PDEs, University of Helsinki, 3-7 June 2019

HAPDE2019 Poster

Selected publications

T. Hytönen, H. Martikainen, Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces, J. Geom. Anal. 22 (4) (2012) 1071-1107, 10.1007/s12220-011-9230-z.
H. Martikainen, Representation of bi-parameter singular integrals by dyadic operators, Adv. Math. 229 (3) (2012) 1734-1761, 10.1016/j.aim.2011.12.01.
T. Hytönen, H. Martikainen, Non-homogeneous T1 theorem for bi-parameter singular integrals, Adv. Math. 261 (2014) 220-273, 10.1016/j.aim.2014.02.011.
M. Lacey, H. Martikainen, Local Tb theorem with L2 testing conditions and general measures: Calderón-Zygmund operators, Ann. Sci. Éc. Norm. Supér. 49 (1) (2016) 57-86, 10.24033/asens.2276.
H. Martikainen, T. Orponen, Characterising the big pieces of Lipschitz graphs property using projections, J. Eur. Math. Soc. (JEMS) 20 (5) (2018) 1055-1073, 10.4171/JEMS/782.
H. Martikainen, T. Orponen, Boundedness of the density normalised Jones' square function does not imply 1-rectifiability, J. Math. Pures Appl. 110 (2018) 71-92, 10.1016/j.matpur.2017.07.009.
H. Martikainen, M. Mourgoglou, X. Tolsa, Improved Cotlar's inequality in the context of local Tb theorems, J. Funct. Anal. 274 (2018) 1255-1275, 10.1016/j.jfa.2017.12.013.
H. Martikainen, E. Vuorinen, Dyadic-probabilistic methods in bilinear analysis, Mem. Amer. Math. Soc., to appear, arXiv:1609.01706, 2016.
K. Li, H. Martikainen, E. Vuorinen, Bilinear Calderón-Zygmund theory on product spaces, J. Math. Pures Appl. 138 (2020) 356-412, 10.1016/j.matpur.2019.10.007.
K. Li, H. Martikainen, E. Vuorinen, Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators,
Int. Math. Res. Not. IMRN, to appear, 10.1093/imrn/rnz072, 2019.
T. Hytönen, H. Martikainen, E. Vuorinen, Multi-parameter estimates via operator-valued shifts, Proc. Lond. Math. Soc. 119 (6) (2019) 1560-1597, 10.1112/plms.12279.
F. Di Plinio, K. Li, H. Martikainen, E. Vuorinen, Multilinear singular integrals on non-commutative Lp spaces, Math. Ann. 378 (2020) 1371-1414, 10.1007/s00208-020-02068-4.
K. Li, H. Martikainen, E. Vuorinen, Genuinely multilinear weighted estimates for singular integrals in product spaces, preprint, arXiv:2011.04459, 2020.