Off-diagonal estimates for bi-parameter commutators
Abstract
Tutkimme kahden parametrin singulaari-integraalien kommutaattoreiden rajoit-tuneisuutta iteroitujen avaruuksien[b, T]:Lp1Lp2→Lq1Lq2välillä kunqi, pi∈(1,∞)ja erityisesti fraktionaalisessa tilanteessaqi6=pi. Yhteensä seitsemässä ta-pauksessa yhdeksästä saavutamme täyden karaterisoinnin rajoittuneisuudella symboliabkoskevillaoskillatorisilla testiehdoilla.
We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces [b,T]:Lp1Lp2→Lq1Lq2 in the off-diagonal situation qi,pi∈(1,∞) where we allow qi≠pi. Boundedness is fully characterized in terms of oscillatory testing conditions on the function b for a total seven out of the nine possible arrangements of the integrability exponents.
We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces [b,T]:Lp1Lp2→Lq1Lq2 in the off-diagonal situation qi,pi∈(1,∞) where we allow qi≠pi. Boundedness is fully characterized in terms of oscillatory testing conditions on the function b for a total seven out of the nine possible arrangements of the integrability exponents.
Main Author
Format
Articles
Research article
Published
2023
Series
Subjects
Publication in research information system
Publisher
Suomen matemaattinen yhdistys ry
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202301111267Use this for linking
Review status
Peer reviewed
ISSN
2737-0690
DOI
https://doi.org/10.54330/afm.125812
Language
English
Published in
Annales Fennici Mathematici
Citation
- Oikari, T. (2023). Off-diagonal estimates for bi-parameter commutators. Annales Fennici Mathematici, 48(1), 81-112. https://doi.org/10.54330/afm.125812
License
Copyright© 2022 Annales Fennici Mathematici