Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older continuity of pluricomplex Green function and Markov brothers'
  inequality   Let V_E be the pluricomplex Green function associated to a compact subset E
of C^N. The well known H\"older Continuity Property of E means that there exist
constants B > 0, 0< c =< 1 such that V_E(z) =< B dist(z,E)^c. The main result
of this paper says that this condition is equivalent to a Vladimir Markov type
inequality, i.e. || D^\alpha P ||_E =< M^{|\alpha |} (deg P)^{m|\alpha|}
(|\alpha |!)^{1-m} ||P||_E, where m,M>0 are independent of the polynomial P of
N variables. We give some applications of this equivalence and we present its
generalization related to a notion of a fit majorant. Moreover, as a
consequence of the main result we obtain a criterion for the H\"older
Continuity Property in several complex variables of the type of Siciak's
L-regularity criterion.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph