Anal. Theory Appl., 27 (2011), pp. 309-319.
Published online: 2011-11
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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} }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.