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Harmonic Analysis Komaba Seminar
Seminar information archive ～04/23｜Next seminar｜Future seminars 04/24～
| Date, time & place | Saturday 13:00 - 18:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|
2013/11/16
13:00-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Guorong Hu (The University of Tokyo) 13:30-15:00
Besov and Triebel-Lizorkin spaces associated with
non-negative self-adjoint operators
(ENGLISH)
On asymptotic behavior of solutions for one-dimensional nonlinear Dirac equation (JAPANESE)
Guorong Hu (The University of Tokyo) 13:30-15:00
Besov and Triebel-Lizorkin spaces associated with
non-negative self-adjoint operators
(ENGLISH)
[ Abstract ]
Let $(X,d)$ be a locally compact metric space
endowed with a doubling measure $¥mu$, and
let $L$ be a non-negative self-adjoint operator on $L^{2}(X,d¥mu)$.
Assume that the semigroup
$P_{t}=e^{-tL}$
generated by $L$ consists of integral operators with (heat) kernel
$p_{t}(x,y)$
enjoying Gaussian upper bound but having no information on the
regularity in the variables $x$ and $y$.
In this talk, we shall introduce Besov and Triebel-Lizorkin spaces associated
with $L$, and
present an atomic decomposition of these function spaces.
Hironobu Sasaki (Chiba University) 15:30-17:00Let $(X,d)$ be a locally compact metric space
endowed with a doubling measure $¥mu$, and
let $L$ be a non-negative self-adjoint operator on $L^{2}(X,d¥mu)$.
Assume that the semigroup
$P_{t}=e^{-tL}$
generated by $L$ consists of integral operators with (heat) kernel
$p_{t}(x,y)$
enjoying Gaussian upper bound but having no information on the
regularity in the variables $x$ and $y$.
In this talk, we shall introduce Besov and Triebel-Lizorkin spaces associated
with $L$, and
present an atomic decomposition of these function spaces.
On asymptotic behavior of solutions for one-dimensional nonlinear Dirac equation (JAPANESE)
