Lim in Chinese / Japanese...

林 is the Chinese character for the surname Lim.

The meaning is small forest.

林 is a surname in many dialects but with varying romanizations:
Lín (Mandarin)
Lam, Lum, Lem (Cantonese)
Hayashi (Japanese)
Lim (Thai)
Lâm (Vietnamese)
Ling (Eastern Min, Northern Min, Wu Chinese)
Lim, Liem (Min Nan or Hokkien, Teochew, Korean, Taiwanese Minnan, Indonesian)

リム is the name Lim in Japanese.

Note: Because this title is entirely Japanese Katakana, it should be written by a Japanese calligrapher.