4 problems

Let $\omega$ be a radial weight on the unit disk, let $P_\omega$ be the associated Bergman projection, and let $L^p_\omega$ denote the corresponding weighted $L^p$ space. Let…

Let $\nu$ be a finite positive Borel measure on $[0,1]$, let $T_\nu:L^p(\mathbb{D})\to L^q(\mathbb{D})$ be the associated Shimorin-type operator, and let $\mathcal{C}$ be the bound…

Let $\nu$ be a finite positive Borel measure on $[0,1]$, and let $T_\nu:L^p(\mathbb{D})\to L^q(\mathbb{D})$ be the associated Shimorin-type operator. Define … where $c'$ is the dua…

Let $n\geq 2$, let $d\mu_{\beta}$ be the Gaussian measure on $\mathbb{R}^{n}$ with parameter $\beta>0$, and let $P_{\alpha}$ denote the harmonic Fock-space projection for…