- #1
member 428835
Hi PF!
Can someone help me understand the notation here (I've looked everywhere but can't find it): given a function ##f:G\to \mathbb R## I'd like to know what ##C(G),C(\bar G),L_2(G),W_2^1(G),\dot W_1^2(G)##. I think ##C(G)## implies ##f## is continuous on ##G## and that ##C(\bar G)## implies ##f## is continuous on ##\bar G##. ##L_2(G)## implies ##F## is square-integrable on ##G##, but I'm not sure of ##W_2^1(G),\dot W_2^1(G)##.
Any help would be awesome!
Can someone help me understand the notation here (I've looked everywhere but can't find it): given a function ##f:G\to \mathbb R## I'd like to know what ##C(G),C(\bar G),L_2(G),W_2^1(G),\dot W_1^2(G)##. I think ##C(G)## implies ##f## is continuous on ##G## and that ##C(\bar G)## implies ##f## is continuous on ##\bar G##. ##L_2(G)## implies ##F## is square-integrable on ##G##, but I'm not sure of ##W_2^1(G),\dot W_2^1(G)##.
Any help would be awesome!