Da wikipedia:

While not the first baritone saxophonist in jazz, Carney was certainly the first major performer on the instrument, and his sound influenced several generations of musicians. Throughout his career Carney played saxophones by the manufacturer C.G. Conn, and like other jazz musicians was known to offer endorsements of his preferred brand. Photographic evidence suggests that the mouthpieces he used were predominantly those of the Woodwind Company of New York. (His preferred model may have been that company's 'Sparkle-Aire' 5.) The combination of such a large-chambered mouthpiece and the Conn brand of baritone saxophone was certainly a factor in the production of his enormous, rich tone. He may have modelled his Baritone Saxophone tone on that of the (larger) Bass Saxophone.

He was an early jazz proponent of circular breathing. He was also Hamiet Bluiett's favorite Baritone Saxophone player because he "never saw anybody else stop time"[1] in reference to a concert Bluiett attended where Carney held a note during which all else went silent.