You are part of a development team for a programming teaching platform. As a lesson in exception handling and data structure creation, you've been asked to implement a Stack class in Python. This Stack has a fixed size and supports three operations:
push(item): Add an item to the top of the stack.
pop(): Remove the top item of the stack and return it.
peek(): Look at the top item of the stack without removing it.
However, your Stack class must have the following constraints:
The push(item) operation should raise a StackOverflowError exception if trying to push an item onto a full stack.
The pop() operation should raise a StackEmptyError exception if trying to pop an item from an empty stack.