N.Y. Uniform Justice Court Law § 1801
The term "small claim" or "small claims" as used in this act shall mean and include any cause of action for money only not in excess of three thousand dollars exclusive of interest and costs, provided that the defendant either resides, or has an office for the transaction of business or a regular employment within the municipality where the court is located, or where claimant is or was a tenant or lessee of real property owned by the defendant and the claim relates to such tenancy or lease, and such real property is situated within the municipality where the court is located. However, where a judge of the county court, pursuant to subdivision (g) of section three hundred twenty-five of the civil practice law and rules, transfers a small claim from the town or village court having jurisdiction over the matter to another town or village court within the same county, the court to which it is transferred shall have jurisdiction to determine the claim.
N.Y. Uniform Justice Court Law § 1801