Toeplitz operators on harmonic Bergman spaces

• DOI: 10.1007/bf01192123
• Publication Date: 2005-02-18T12:09:29Z
• Authors: Jie Miao
• Keywords: 0101 mathematics; 01 natural sciences

We study Toeplitz operators on the harmonic Bergman spacebp(B), whereB is the open unit ball inRn(n≥2), for 1<p〈∞. We give characterizations for the Toeplitz operators with positive symbols to be bounded, compact, and in Schatten classes. We also obtain a compactness criteria for the Toeplitz operators with continuous symbols.