JEDNOSTKA NAUKOWA KATEGORII A+

Boundedness of commutators of strongly singular convolution operators on Herz-type spaces

Tom 157 / 2003

Zongguang Liu Studia Mathematica 157 (2003), 33-46 MSC: Primary 42B20. DOI: 10.4064/sm157-1-3

Streszczenie

The author investigates the boundedness of the higher order commutator of strongly singular convolution operator, $T^m_b$, on Herz spaces $\dot {K}^{\alpha ,p}_q({{\mathbb R}}^n)$ and $K^{\alpha ,p}_q({{\mathbb R}}^n)$, and on a new class of Herz-type Hardy spaces $H\dot {K}^{\alpha ,p,0}_{q,b,m}({{\mathbb R}}^n)$ and $HK^{\alpha ,p,0}_{q,b,m}({{\mathbb R}}^n)$, where $0< p\leq 1< q< \infty $, $\alpha =n(1-1/q)$ and $b\in {\rm BMO}({{\mathbb R}}^n)$.

Autorzy

  • Zongguang LiuDepartment of Mathematics
    China University of Mining and Technology (Beijing)
    Beijing, 100083
    The People's Republic of China
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek