Projects per year
Abstract
We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarify existing literature, which often explicitly focuses on two parameters only, and to extend very recent results to the full generality of arbitrary parameters. More specifically, we study two-weight commutator estimates - Bloom type estimates - in the multi-parameter setting involving weighted product BMO and little BMO spaces, and their combinations.
| Original language | English |
|---|---|
| Journal | Publicacions matemàtiques |
| Volume | 64 |
| Issue number | 2 |
| Pages (from-to) | 681 - 729 |
| Number of pages | 49 |
| ISSN | 0214-1493 |
| DOIs | |
| Publication status | Published - 2020 |
| MoE publication type | A1 Journal article-refereed |
Fields of Science
- 111 Mathematics
- iterated commutators
- multi-parameter singular integrals
- Bloom's inequality
- product BMO
- weighted BMO
- little BMO
- REAL VARIABLE CHARACTERIZATION
- SINGULAR-INTEGRALS
- HILBERT TRANSFORM
- HANKEL-OPERATORS
- INEQUALITY
- THEOREM
- BMO
- REPRESENTATION
Projects
- 1 Finished
-
Geometric and dyadic harmonic analysis: general measures and rectifiability
Martikainen, H. & Airta, E.
01/09/2016 → 31/08/2021
Project: Research project