4 problems

Let $\mathbf{B}$ be the unit ball in $\mathbb{R}^{n}$, let $d\tau$ be the measure used to define the harmonic Bergman projection $P_{\alpha}$, and let $B^{p}$ be the associated har…

Let $d4a4^n$ be the Siegel upper half-space, let $P_{d4a4^n}$ denote its Bergman projection, and let $C_{d4a4^n}$ denote its Cauchy–Szegő projection. For $1<p<infty$, set…

Let $f$ be a function on the unit disk $\mathbb{D}$, let $M_2(r,f)$ denote its integral mean of order $2$ on the circle of radius $r$, and let $\mathcal{P}(f)$ be its Bergman proje…

Let $T_\Omega=\mathbb{R}^n+i\Omega$ be a tube domain over an irreducible symmetric cone $\Omega\subset\mathbb{R}^n$ of rank $r$, with determinant function $\Delta$, and let ……