一对多关系字符串.join

对于同一本书有多个作者。我想取json格式的值得到json为

"AuthorName":"{ AuthorName = Author1 },{ AuthorName =Author2  }",

但是我需要把它放到

"AuthorName":Author1,Author2  

格式。我能做到吗?这是我的查询

var jsonData = from w in bookData
                           join b in barcodes on w.Id equals b.BookId
                           select new 
                           {
                           w.AccessionNo,
                           AuthorName=string.Join(",", from a in bookAuthor
                                          where a.BookShelfId == w.Id
                                          select new {
                                           a.Authors.AuthorName
                           }),
                        w.BookInfoId,                               
                           };
            return Json(jsonData, JsonRequestBehavior.AllowGet);

var jsonData = from w in bookData
                       join b in barcodes on w.Id equals b.BookId
                       select new 
                       {
                       w.AccessionNo,
                       AuthorName=string.Join(",", from a in bookAuthor
                                      where a.BookShelfId == w.Id
                                      select a.Authors.AuthorName
                       ),
                    w.BookInfoId,                               
                       };
        return Json(jsonData, JsonRequestBehavior.AllowGet);