skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Martikainen, Henri"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; (, Transactions of the American Mathematical Society)
    We develop both bilinear theory and commutator estimates in the context of entangled dilations, specifically Zygmund dilations $$(x_1, x_2, x_3) \mapsto (\delta_1 x_1, \delta_2 x_2, \delta_1 \delta_2 x_3)$$ in $$\mathbb{R}^3$$. We construct bilinear versions of recent dyadic multiresolution methods for Zygmund dilations and apply them to prove a paraproduct free $T1$ theorem for bilinear singular integrals invariant under Zygmund dilations. Independently, we prove linear commutator estimates even when the underlying singular integrals do not satisfy weighted estimates with Zygmund weights. This requires new paraproduct estimates. 
    more » « less
    Free, publicly-accessible full text available April 4, 2026
  2. ; ; ; (, Mathematische Annalen)
    null (Ed.)
    Full Text Available 
  3. ; ; ; (, Journal of Functional Analysis)
    Full Text Available 
  4. ; ; ; (, International Mathematics Research Notices)
    Abstract We prove that the class of trilinear multiplier forms with singularity over a one-dimensional subspace, including the bilinear Hilbert transform, admits bounded $L^p$-extension to triples of intermediate $$\operatorname{UMD}$$ spaces. No other assumption, for instance of Rademacher maximal function type, is made on the triple of $$\operatorname{UMD}$$ spaces. Among the novelties in our analysis is an extension of the phase-space projection technique to the $$\textrm{UMD}$$-valued setting. This is then employed to obtain appropriate single-tree estimates by appealing to the $$\textrm{UMD}$$-valued bound for bilinear Calderón–Zygmund operators recently obtained by the same authors. 
    more » « less
    Full Text Available