- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
17
2001
3
Endpoint multiplier theorems of Marcinkiewicz type
Terence
Tao
University of California Los Angeles, LOS ANGELES, UNITED STATES
James
Wright
University of Edinburgh, EDINBURGH, UNITED KINGDOM
We establish sharp $(H^1, L^{1,q})$ and local ($L$ log$^r L, L^{1,q}$) mapping properties for rough one- dimensional multipliers. In partic ular we show that the multipliers in the Marcinkiewicz multiplier the orem map $H^1$ to $L^{1,\infty}$ and $L$ log$^{1/2}L$ to $L^{1,\infty}$, and that these estimates are sharp .
General
521
558
10.4171/RMI/303
http://www.ems-ph.org/doi/10.4171/RMI/303