# A note on the density of the parabolic area integral.

Collectanea Mathematica (2001)

- Volume: 52, Issue: 1, page 75-84
- ISSN: 0010-0757

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topIribarren, 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>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>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 -

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