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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low regularity conservation laws for the fifth-order modified KdV equations in Besov spaces
Besov空间 五阶修正KdV方程 低正则性 守恒定律
2023/4/19
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space
Kinetic Theory Boltzmann equation long-range interaction non cutoff soft potentials hard potentials fractional derivatives
2012/6/6
We prove that $k$-th order derivatives of perturbative classical solutions to the hard and soft potential Boltzmann equation (without the angular cut-off assumption) in the whole space, $\threed_x$ wi...
On the local time of multiparameter symmmetric stable processes.Regularity and limit theorem in Besov spaces
LocaI time symmetric stable process rnultiparameter process anisotropic Besov space
2009/9/21
Let X = (X,,Z E TN = [0, 1IN)b e a symmetric a-stable
process, 1 < a < 2. Based on a Kolmogorov type continuity theorem
we show Holder conditions in I?-norms for the local time of X with
respect to...
Penalized empirical risk minimization over Besov spaces
Penalized empirical risk Besov spaces
2009/9/16
Kernel methods are closely related to the notion of reproducing kernel Hilbert space (RKHS). A kernel machine is based on the minimization of an empirical cost and a stabilizer (usually the norm in th...
DUNKL TRANSFORM ON BESOV SPACES AND HERZ SPACES
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov spaces Herz spaces
2008/11/25
In this paper, we establish on Rd that the Dunkl transform maps the Besov spaces
into a class of Herz spaces.
A Note on Integral Inequalities and Embeddings of Besov Spaces
Integral Inequalities GRR-lemma Besov spaces Embeddings
2008/7/3
It is shown that certain known integral inequalities imply directly a well-known embedding theorem of Besov spaces.
Carleson Measures for Analytic Besov Spaces: The Upper Triangle Case
Analytic Besov Spaces Carleson measures Discrete model
2008/7/1
Carleson Measures for Analytic Besov Spaces: The Upper Triangle Case.
Characterization of Besov Spaces for the Dunkl Operator on the Real Line
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov-Dunkl spaces
2008/7/1
In this paper, we define subspaces of by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.