Who wrote the Jazz tune "love" sung by Tony Bennett?

I dont know if Tony Bennett wrote it or not

I really don't know which tune you mean. Here is a link to Allmusic.com for you to track it down.

I'm guessing you're talking about "Our Love is Here to Stay" -- a staple of Bennett's for decades. The music is by E.Y. "Yip" Harburg and the lyrics by Burton Lane.

If this isn't the answer you're looking for, edit your question and I'll edit my reply.