Final answer:
The Shabbat before Tisha B'Av is known as Shabbat Chazon and the Shabbat after Tisha B'Av is called Shabbat Nachamu. They are named after the special Haftarah readings on those days.
Step-by-step explanation:
The name of the Shabbat before Tisha B'Av is known as Shabbat Chazon, which means the Sabbath of Vision. It is so named due to the special Haftarah reading, which comes from the book of Isaiah and describes the prophet's vision of the destruction of Jerusalem. The Shabbat after Tisha B'Av is called Shabbat Nachamu, meaning the Sabbath of Consolation. It is named after the first word of the Haftarah reading, which begins with words of comfort and consolation for the Jewish people after the somber observance of Tisha B'Av.