论文标题
$ l_ {p}（μ）$ space的多项式的伯恩斯坦和马尔可夫型不平等
Bernstein and Markov-type inequalities for polynomials on $L_{p}(μ)$ spaces
论文作者
论文摘要
在这项工作中，我们讨论了对多项式的经典伯恩斯坦和马尔可夫类型的不平等现象的概括，并为$ k $ thfréchet导数提供了一些新的不平等，对真实且复杂的$ l_ {p}（p}（μ）$ space的均质多项式多项式衍生物。我们还将应用于$ l_ {p}（μ）$空间中的均质多项式和对称多线映射。最后，已经讨论了伯恩斯坦对现实和复杂的希尔伯特空间的同质多项式的不平等。
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 Fréchet derivative of homogeneous polynomials on real and complex $L_{p}(μ)$ spaces. We also give applications to homogeneous polynomials and symmetric multilinear mappings in $L_{p}(μ)$ spaces. Finally, Bernstein's inequality for homogeneous polynomials on both real and complex Hilbert spaces has been discussed.
