TY - JOUR
T1 - The Boundedness of Toeplitz-Type Operators on Vanishing-Morrey Spaces
AU - Xiaoniu Cao & Dongxiang Chen
JO - Analysis in Theory and Applications
VL - 4
SP - 309
EP - 319
PY - 2011
DA - 2011/11
SN - 27
DO - http://doi.org/10.1007/s10496-011-0309-y
UR - https://global-sci.org/intro/article_detail/ata/4603.html
KW - Toeplitz-type operator, generalized fractional integral, vanishing-Morrey space.
AB - <p style="text-align: justify;">In this note, we prove that the Toeplitz-type Operator $\Theta_\alpha^b$ generated by the generalized fractional integral, Calderón-Zygmund operator and VMO function is bounded from $L^{p,\lambda} (R^n)$ to $L^{q,\mu} (R^n)$. We also show that under some conditions $\Theta_\alpha^b f \in &nbsp;V L^{q,\mu} (B_R)$, the vanishing-Morrey space.</p>