Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernstein and Markov-type inequalities for polynomials on $L_{p}(\mu)$
  spaces   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. Finally,
Bernstein's inequality for homogeneous polynomials on both real and complex
Hilbert spaces has been discussed.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an