1 citations · 3 across the 9 of their papers we have counts for
9 papers
Embeddings of Function Spaces via the Caffarelli-Silvestre Extension, Capacities and Wolff potentials
Pengtao Li, Shaoguang Shi, Rui Hu +1
Let be the Caffarelli-Silvestre extension of a smooth function The purpose of this…
Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
Jizheng Huang, Pengtao Li, Yu Liu +1
Let be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…
A Tracing of the Fractional Temperature Field
S. G. Shi, J. Xiao
This note is devoted to a study of -tracing of the fractional temperature field -- the weak solution of the fractional heat equation $(\partial_t+(-Δ_x)^α)u(t,x)=g(t,…
Some one-sided estimates for oscillatory singular integrals
Zunwei Fu, Shanzhen Lu, Yibiao Pan +1
The purpose of this paper is to establish some one-sided estimates for oscillatory singular integrals. The boundedness of certain oscillatory singular integral on weighted Hardy sp…
Boundedness of sublinear operators on weighted Morrey spaces and applications
Zunwei Fu, Shanzhen Lu, Shaoguang Shi
We study the boundedness of some sublinear operators on weighted Morrey spaces under certain size conditions. These conditions are satisfied by most of the operators in harmonic an…
Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces
Zunwei Fu, Shaoguang Shi, Shanzhen Lu
It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated b…