Abstract
We construct an example showing that the upper bound [w]A1 log(e+[w]A1) for the L1(w) → L1,∞(w) norm of the Hilbert transform cannot be improved in general.
Original language | English |
---|---|
Pages (from-to) | 1939-1954 |
Number of pages | 16 |
Journal | Analysis and PDE |
Volume | 13 |
Issue number | 6 |
DOIs | |
State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020 Mathematical Sciences Publishers.
Keywords
- Hilbert transform
- Maximal operator
- Weighted inequalities