Title of article
A multiparameter Garsia–Rodemich–Rumsey inequality and some applications
Author/Authors
Hu، نويسنده , , Yaozhong and Le، نويسنده , , Khoa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
19
From page
3359
To page
3377
Abstract
We extend the classical Garsia–Rodemich–Rumsey inequality to the multiparameter situation. The new inequality is applied to obtain some joint Hölder continuity along the rectangles for fractional Brownian fields W ( t , x ) and for the solution u ( t , y ) of the stochastic heat equation with additive white noise.
Keywords
Joint H?lder continuity , Garsia–Rodemich–Rumsey inequality , Sample path property , Gaussian processes , Stochastic heat equations with additive noises , Fractional Brownian fields
Journal title
Stochastic Processes and their Applications
Serial Year
2013
Journal title
Stochastic Processes and their Applications
Record number
1579060
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