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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Covariant Riesz transform on differential forms for $p\in (1,2]$
$pin （1，2]$ 微分形式 协变里斯变换
2023/4/28
In this talk, I will introduce the recent results on $L^p$-boundedness of covariant Riesz transform on differential forms on a class of non-compact weighted Riemannian manifolds for $p\in (1,2]$ witho...
BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH RIEMANN-LIOUVILLE OPERATOR
Weierstrass transform best approximation Riemann-Liouville operator reproducing kernel extremal function
2008/11/26
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass
transform associated with Riemann-Liouville operator. Also, estimates of extremal
functions are checked.
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.
FURTHER RESULTS OF INTEGRABILITY FOR THE DUNKL TRANSFORM
Dunkl operators Dunkl kernel Dunkl transform Dunkl translation operators
2008/11/25
In this paper, we establish further results concerning integrability of the Dunkl transform
of function f on R and in radial case on Rd, when f satisfies a suitable condition.