Norm of a Bloch-Type Projection
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DOI: 10.1007/s11785-018-0840-3
Abstract: In this paper, we obtain the exact norm of the following integral operator $$P^{\alpha }_{t}$$Ptα$$\begin{aligned} P^{\alpha }_{t}f(z)=\int _{\mathbb {B}_{n}}\frac{f(w)}{(1- \langle z,w \rangle )^{n+t+\alpha }}dv_{t}(w),\ \alpha>0,\ t>-1, \end{aligned}$$Ptαf(z)=∫Bnf(w)(1-⟨z,w⟩)n+t+αdvt(w),α>0,t>-1,from $$L^{\infty }(\mathbb {B}_{n})$$L∞(Bn) onto Bloch-type spaces $$\mathcal {B}_\alpha… read more here.
Keywords: projection; bloch type; norm bloch; norm ... See more keywords