On Bernstein- and Marcinkiewicz-type inequalities on multivariate $C^{\hat{I}}\pm$-domains

Feng Dai, András Kroó, Andriy Prymak

We prove new Bernstein and Markov type inequalities in $L^p$ spaces associated with the normal and the tangential derivatives on the boundary of a general compact $C^{\hat{I}}\pm$-domain wit…