Year: 2005
Type: preprint
Abstract: Given Mikhlin-Hörmander multipliers $m_i$, $i=1,..., N$, with uniform estimates we prove an optimal $\sqrt{\log(N+1)}$ bound in $L^p$ for the maximal function $\sup_i|\cF^{-1}[m_i\hat f]|$ and related bounds for maximal functions generated by dilations.
Source: arXiv (Cornell University)
Institutions: University of Missouri, University of Wisconsin–Madison
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949186053