ElasticSearch Query with two fields and 'AND' filter - Java API

It depends whether you care about the order of the "main" and "title" words (is it a phrase), but this is relatively simple:

{
  "query" : {
    "bool" : {
      "must" : [
        {
          "match_phrase" : {
            "title" : "main title"
          }
        },
        {
          "terms" : {
            "tags" : [ "first", "page" ]
          }
        }
      ]
    }
  }
}

By default, the terms query is going to work as a single match and it will boost the score (relevancy) by matching multiple tags. This will perform an exact match, which you should only do with not_analyzed strings. Anything with in the must will inherently behave like an AND; you can understand the bool query/filter by checking here. This translates pretty simply into the Java API:

import static org.elasticsearch.index.query.QueryBuilders.*;

SearchResponse response =
    client.prepareSearch("your-index").setTypes("your-type")
          .setQuery(
               boolQuery()
                   .must(matchPhraseQuery("title", "main title"))
                   .must(termsQuery("tags", "first", "page"))
          .execute()
          .actionGet();