**Maybe** this is the emigration of your Axel Harry, but his name is very common and you haven't provided the information from U.S. censuses which provide a year of immigration (1900-1910-1920-1930) and you haven't told us where he lived after emigrating.
Emihamn database:
First name: AXEL H
Last name: JOHANSSON
Age: 19 Gender: M
Parish: OSKARSHAMN County: H (Kalmar)
Title/Note: SJÖMAN = sailor
Port: MALMÖ
Date: 1911 04 13
Destination: NEW YORK
Fellows: NEJ
Source: 1911:838:211
Here is another maybe.
First name: ANTON
Last name: JOHANSSON
Age: 19 Gender: M
Parish: OSKARSHAMN County: H
Port: GÖTEBORG
Date: 1904 03 02 (March 2)
Destination: WASHINGTON IO
Fellows: NEJ
Source: 75:155:2777
This seems likely to be the Johan (John) Fridolf Martin in that family, due to the combination of initials, the location from which he emigrated, and the age at emigration.
First name: JOHN F M
Last name: JOHANSSON
Age: 29 Gender: M
Parish: OSKARSHAMN County: H
Title/Note: SJÖMAN
Port: MALMÖ
Date: 1911 04 13
Destination: NEW YORK
Fellows: NEJ
Source: 1911:837:210
I don't see any of the family in the dvd "Swedish Death Index 1901-2009" but the years 1901-1946 are not complete. You can join SVAR (a fee-based site) and try to find them in the scanned birth, marriage, and death records. If they stayed in Oskarshamn, this won't be hard. (It does take a lot of time.) See how to do this using information on this page.
http://researchingswedishroots.blogspot.com/This page tells how to join SVAR.
http://www.svar.ra.se/winder.asp?uidObjectGUID={6587EEF0-3E9...=
Judy