HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Global estimates of maximal operators generated by dispersive equations

Files in This Item:
pre704.pdf134.72 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83855

Title: Global estimates of maximal operators generated by dispersive equations
Authors: Cho, Yonggeun Browse this author
Shim, Yongsun Browse this author
Keywords: dispersive equation
maximal operator
Sobolev space
Besov space
phase function
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 704
Start Page: 1
End Page: 13
Abstract: Let $Tf(x,t) = e^{2\pi it\phi(D)}f$ be the solution of of the general dispersive equation with the phase function $\phi$ and initial data $f$ in the Schwartz class. In case that the phase $\phi$ has a suitable growth rate at the infinity and the origin and $f$ is a finite linear combination of radial and spherical harmonic functions, we have global $L^p$ estimates of maximal operator defined by taking the supremum w.r.t. $t$. In particular, we obtain a global estimate at the end point left open.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69509
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University