A note on the density of the parabolic area integral.

Iribarren, Ileana. "A note on the density of the parabolic area integral.." Collectanea Mathematica 52.1 (2001): 75-84. <http://eudml.org/doc/41693>.

@article{Iribarren2001,
abstract = {The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p&gt;1.},
author = {Iribarren, Ileana},
journal = {Collectanea Mathematica},
keywords = {Función armónica; Ecuaciones parabólicas; Función densidad de probabilidad; caloric function; area integral; Brownian bridge},
language = {eng},
number = {1},
pages = {75-84},
title = {A note on the density of the parabolic area integral.},
url = {http://eudml.org/doc/41693},
volume = {52},
year = {2001},
}

TY - JOUR
AU - Iribarren, Ileana
TI - A note on the density of the parabolic area integral.
JO - Collectanea Mathematica
PY - 2001
VL - 52
IS - 1
SP - 75
EP - 84
AB - The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p&gt;1.
LA - eng
KW - Función armónica; Ecuaciones parabólicas; Función densidad de probabilidad; caloric function; area integral; Brownian bridge
UR - http://eudml.org/doc/41693
ER -