@Article{ATA-27-309, author = {Xiaoniu Cao and Dongxiang Chen}, title = {The Boundedness of Toeplitz-Type Operators on Vanishing-Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {4}, pages = {309--319}, abstract = {
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 $\Theta_\alpha^b f \in V L^{q,\mu} (B_R)$, the vanishing-Morrey space.
}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0309-y}, url = {http://global-sci.org/intro/article_detail/ata/4603.html} }