Chebyshev and Robin constants on algebraic curves

Jesse Hart, and Sione Ma`u. "Chebyshev and Robin constants on algebraic curves." Annales Polonici Mathematici 115.2 (2015): 101-121. <http://eudml.org/doc/280223>.

@article{JesseHart2015,
abstract = {We define directional Robin constants associated to a compact subset of an algebraic curve. We show that these constants satisfy an upper envelope formula given by polynomials. We use this formula to relate the directional Robin constants of the set to its directional Chebyshev constants. These constants can be used to characterize algebraic curves on which the Siciak-Zaharjuta extremal function is harmonic.},
author = {Jesse Hart, Sione Ma`u},
journal = {Annales Polonici Mathematici},
keywords = {extremal function; pluricomplex Green function; Chebyshev constant; Robin constant; algebraic curve},
language = {eng},
number = {2},
pages = {101-121},
title = {Chebyshev and Robin constants on algebraic curves},
url = {http://eudml.org/doc/280223},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Jesse Hart
AU - Sione Ma`u
TI - Chebyshev and Robin constants on algebraic curves
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 2
SP - 101
EP - 121
AB - We define directional Robin constants associated to a compact subset of an algebraic curve. We show that these constants satisfy an upper envelope formula given by polynomials. We use this formula to relate the directional Robin constants of the set to its directional Chebyshev constants. These constants can be used to characterize algebraic curves on which the Siciak-Zaharjuta extremal function is harmonic.
LA - eng
KW - extremal function; pluricomplex Green function; Chebyshev constant; Robin constant; algebraic curve
UR - http://eudml.org/doc/280223
ER -