A multiparameter Garsia-Rodemich-Rumsey inequality and some applications
  We extend the classical Garsia-Rodemich-Rumsey inequality to the multiparameter situation. The new inequality is applied to obtain some joint H\"older continuity along the rectangles for fractional Brownian fields $W(t, x)$ and for the solution $u(t, y)$ of stochastic heat equation with additive white noise. 
Yaozhong Hu, Khoa Le
math.PR