Bernstein and Markov-type inequalities for polynomials on $L_{p}(\mu)$ spaces

24 Mar 2020 Chatzakou M. Sarantopoulos Y.

In this work, we discuss generalizations of the classical Bernstein and Markov type inequalities for polynomials and we present some new inequalities for the $k$th Fr\'echet derivative of homogeneous polynomials on real and complex $L_{p}(\mu)$ spaces. We also give applications to homogeneous polynomials and symmetric multilinear mappings in $L_{p}(\mu)$ spaces... (read more)

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