using class specific set_new_handler

For class specific new_handler implementation, i came across the following example in book "effective c++". This looks problem in multithreaded environment, My Question is how to achieve class specific new_handler in multithreaded environment?

void * X::operator new(size_t size)
{
    new_handler globalHandler =                // install X's
    std::set_new_handler(currentHandler);    // handler
    void *memory;
    try {                                      // attempt
        memory = ::operator new(size);           // allocation
    }
    catch (std::bad_alloc&) {                  // restore
        std::set_new_handler(globalHandler);     // handler;
        throw;                                   // propagate
    }                                          // exception
    std::set_new_handler(globalHandler);       // restore
                                               // handler
    return memory;
}