Specializing in clothing for females, and younger females in particular, Roxy might be best thought of as a slightly cooler and more acutely-focused competitor for Quiksilver. If you thought that, though, you'd be wrong. Roxy isn't any competition for Quiksilver at all - they're owned by the larger firm. You might not get that from the brand's name alone, but you should be able to pick up on it by looking at the logo.
Beneath the stylized spelling of the word 'Roxy,' - which has a four-leaf clover element to it as a nice touch - we find what appears to be a love heart. You're free to interpret it that way if you wish, but it's actually just the Quiksilver logo mirrored, duplicated, and then pushed together to give the impression of a heart. We don't know whether this should be considered clever use of an existing design, or just laziness on the part of the designer.