Postgres Replication
At least exists three way to do this:

1. REPLICATION + VIEW / FDW

You can create ON MASTER VIEW or FDW for table and VIEW / FDW will be replicate to slave.

Something like :

CREATE VIEW schema1.table_name AS SELECT * FROM public.table_name;


Or

CREATE SERVER srv FOREIGN DATA WRAPPER postgres_fdw OPTIONS (dbname 'db', host 'localhost');
CREATE USER MAPPING FOR postgres SERVER dc OPTIONS (password 'pwd', "user" 'postgres');
CREATE FOREIGN TABLE schema1.table_name (..table description..) SERVER srv OPTIONS (schema_name 'public', table_name 'table_name');


2. TRIGGER + SAVE TO REMOTE

You can create trigger on public.table_name on master to write changes to remote db via dblink or FDW.

3. LOGICAL REPLICATION

The most hard path as for me. You can write your own decoder and/or add trigger to write also/instead data to schema1.table_name