add action save post type and update post meta woocommerce

I solved:

add_action('save_post_product', 'update_post_meta_subito', 10, 3 );

function update_post_meta_subito($post_id){

    $prova_termine="inzaghi";


    $term_taxonomy_ids = wp_set_object_terms( $post_id, $prova_termine, 'pa_autore', true );

    $thedata = Array(

    'pa_autore'=>Array( 
    'name'=>'pa_autore', 
    'value'=>$prova_termine,
    'is_visible' => '1',
    'is_variation' => '1',
    'is_taxonomy' => '1'
    ),


    );


    update_post_meta( $post_id, '_product_attributes',$thedata);

}