Property Manager 1099 Question

I own a property management business (as a Partnership LLC). I collect RENT for my client JOE. Example below:

 

Joe owns a rental property and hires a management company to oversee the property. The tenant pays rent of $1,000/month directly to the management company, which then takes out its $100 fee and sends Joe the remaining $900. At the end of the year, the management company will send Joe a 1099-MISC showing $12,000 of rents received ($1,000 x 12 months), which is the gross amount of rent. Joe will deduct the $1,200 of management fees on Schedule E on his tax return.

 

So I send Joe (my client) a 1099-MISC showing the GROSS amount of rent I collected for him. Does JOE need to send me a 1099 for the $1,200 in fees I deducted from the rent I collected for him?

 

If not, how do I report my management fee of $1,200 as income on my tax return?  My tax return will show $12,000 of rents coming in and $12,000 of rent going out to JOE on the 1099 I issued, which is $0 income.