Skip to main content
1 of 5
user23078
  • 1.6k
  • 16
  • 24

fractional lebniz fomular

Let $T=(-\triangle)^{\frac{1}{2}}$,Can we have similar estimates below hold in $L^p$ ? $\| T^{\alpha}(fg)-(T^{\alpha}f)g-f(T^{\alpha}g) \|_p \leq \|T^{\alpha-1}f\|_p \|T^{\alpha-1}g\|_p$, where $1<p<\infty$$\alpha>0$ If we really have such fractional lebniz fomular holds,we can then estimate the fractional intergration by parts also.

user23078
  • 1.6k
  • 16
  • 24