Problem:
Can anyone help me out with the following problem:
I am given a uniformly continuous function : g:\mathbb{R}^{2}\rightarrow [0,\infty ) such that the following condition is satisfied:
\sup_{r> 0}\iint_{{x^{2}+y^{2}\leq r^{2}}}g(x,y)dxdy< \infty
The question is to prove that:\lim_{|...