How to remove some author fields from the edit comment page in wp-admin?

There is no filter hook to customize comment edit fields on admin page. However you can hide those two fields using CSS, add the code below on your active theme.

function wp_ste_remove_commentfields() {
    global $pagenow;
    if ( $pagenow != 'comment.php' ) return;
    ?>
    <style>
        .editcomment tr:nth-child(2),
        .editcomment tr:nth-child(3) {
            display: none;
        }
    </style>
    <?php
}
add_action( 'admin_print_styles', 'wp_ste_remove_commentfields' );