Guess you meant "image/jpeg" and "image/jpeg-ls", not "image/dicom+jpeg" and "image/dicom+jpeg-ls"!
According my understanding, parameter "transfer-syntax=1.2.840.10008.1.2.4.50" is only specified for "application/dicom", not for "image/jpeg" and "image/jpeg-ls".
You may specify to accept multiple content types ; either comma separated in one Accept header field or using multiple Accept header. E.g.
$ curl -v -H 'Accept: multipart/related;type="image/jls",multipart/related;type="image/jpeg"' -o frame1.part
http://localhost:8080/dcm4chee-arc/aets/DCM4CHEE/rs/studies/1.3.12.2.1107.5.4.3.123456789012345.19950922.121803.6/series/1.3.12.2.1107.5.4.3.123456789012345.19950922.121803.8/instances/1.3.12.2.1107.5.4.3.321890.19960124.162922.29/frames/1
* TCP_NODELAY set
* Connected to localhost (127.0.0.1) port 8080 (#0)
> GET /dcm4chee-arc/aets/DCM4CHEE/rs/studies/1.3.12.2.1107.5.4.3.123456789012345.19950922.121803.6/series/1.3.12.2.1107.5.4.3.123456789012345.19950922.121803.8/instances/1.3.12.2.1107.5.4.3.321890.19960124.162922.29/frames/1 HTTP/1.1
> Host: localhost:8080
> User-Agent: curl/7.68.0
> Accept: multipart/related;type="image/jls",multipart/related;type="image/jpeg"
>
* Mark bundle as not supporting multiuse
< HTTP/1.1 200 OK
< Access-Control-Allow-Headers: origin, content-type, accept, authorization
< Date: Wed, 24 Feb 2021 14:35:50 GMT
< Connection: keep-alive
< Access-Control-Allow-Origin: *
< ETag: "-733195899"
< Last-Modified: Wed, 24 Feb 2021 13:48:27 GMT
< Access-Control-Allow-Credentials: true
< Transfer-Encoding: chunked
< Content-Type: multipart/related;start="<89754e5f-be81-4160-b5e2-ed53b98fa6f9@resteasy-multipart>";type="image/jpeg"; boundary=2846ced2-ac69-478e-b5f3-d48e34f3c3e0
< Access-Control-Allow-Methods: GET, POST, PUT, DELETE, OPTIONS, HEAD
<
{ [16392 bytes data]
* Connection #0 to host localhost left intact
or
$ curl -v -H 'Accept: multipart/related;type="image/jls"' -H 'Accept: multipart/related;type="image/jpeg"' -o frame1.part
http://localhost:8080/dcm4chee-arc/aets/DCM4CHEE/rs/studies/1.3.6.1.4.1.5962.1.2.1.20040826185059.5457/series/1.3.6.1.4.1.5962.1.3.1.1.20040826185059.5457/instances/1.3.6.1.4.1.5962.1.1.1.1.6.20040826185059.5457/frames/1
* TCP_NODELAY set
* Connected to localhost (127.0.0.1) port 8080 (#0)
> GET /dcm4chee-arc/aets/DCM4CHEE/rs/studies/1.3.6.1.4.1.5962.1.2.1.20040826185059.5457/series/1.3.6.1.4.1.5962.1.3.1.1.20040826185059.5457/instances/1.3.6.1.4.1.5962.1.1.1.1.6.20040826185059.5457/frames/1 HTTP/1.1
> Host: localhost:8080
> User-Agent: curl/7.68.0
> Accept: multipart/related;type="image/jls"
> Accept: multipart/related;type="image/jpeg"
>
* Mark bundle as not supporting multiuse
< HTTP/1.1 200 OK
< Access-Control-Allow-Headers: origin, content-type, accept, authorization
< Date: Wed, 24 Feb 2021 14:40:40 GMT
< Connection: keep-alive
< Access-Control-Allow-Origin: *
< ETag: "-733226512"
< Last-Modified: Wed, 24 Feb 2021 13:47:56 GMT
< Access-Control-Allow-Credentials: true
< Transfer-Encoding: chunked
< Content-Type: multipart/related;start="<fa33e404-0b17-43c3-a7b9-c6bb9fd42b17@resteasy-multipart>";type="image/jls"; boundary=566a98d1-ef0f-41a8-afc3-c050ed13539f
< Access-Control-Allow-Methods: GET, POST, PUT, DELETE, OPTIONS, HEAD
<
{ [16778 bytes data]
* Connection #0 to host localhost left intact
Be aware, that the received object is wrapped in a multipart/related mime message. E.g.:
$ head -n6 frame1.part
--566a98d1-ef0f-41a8-afc3-c050ed13539f
Content-Location:
http://localhost:8080/dcm4chee-arc/aets/DCM4CHEE/rs/studies/1.3.6.1.4.1.5962.1.2.1.20040826185059.5457/series/1.3.6.1.4.1.5962.1.3.1.1.20040826185059.5457/instances/1.3.6.1.4.1.5962.1.1.1.1.6.20040826185059.5457/frames/1
Content-ID: <fa33e404-0b17-43c3-a7b9-c6bb9fd42b17@resteasy-multipart>
Content-Type: image/jls
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