Sharp estimates for maximal operators associated to the wave equation

Details Sharp estimates for maximal operators associated to the wave equation Sharp estimates for maximal operators associated to the wave equation

2007-09-30

arxiv.org/abs/0710.0156v1

Mathematics

Classical Analysis and ODEs

7 pages, 1 figure

Scientific paper

10.1007/s11512-007-0063-8

We give almost sharp conditions under which the maximal operator associated
with the wave equation with initial data in Sobolev space H^s(R^n) is bounded
from H^s(R^n) to L^q(R^n).

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