caa a22 4500 469043652 CHVBK 20180323132817.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01200702 doi (NATIONALLICENCE)springer-10.1007/BF01200702 Li Song-Ying Department of Mathematics and Statistics, University of Pittsburgh, 15260, Pittsburgh, PA, U.S.A. aut Toeplitz operators on hardy space H p (S) with 0< p ≤1 [Elektronische Daten] [Song-Ying Li] LetB n be the unit ball inC n ,S is the boundary ofB n . We letL p (S) denote the usual Lebesgue spaces overS with respect to the normalized surface measure,H p (B n ) is its usua holomorphic subspace.H p (S) denotes the atomic Hardy spaces defined in [GL]. LetP∶L 2 (S)→H 2(B n ) denote the orthogonal projection. For eachfεL ∞(S), we useM f ∶L p (S)→L p (S) to denote the multiplication operator, and we define the Toeplitz operatorT f =PM f . The paper gives a characterization theorem onf such that the Toeplitz operatorsT f and $$T_{\bar f} $$ are bounded fromH p (S)→H p (B n ) with 0<p≤1. Also several equivalent conditions are given. Birkhäuser Verlag, 1992 Primary 47B35 nationallicence Secondary 32A35 nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag 15/5(1992-09-01), 807-824 0378-620X 15:5<807 1992 15 20 https://doi.org/10.1007/BF01200702 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01200702 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Li Song-Ying Department of Mathematics and Statistics, University of Pittsburgh, 15260, Pittsburgh, PA, U.S.A aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag 15/5(1992-09-01), 807-824 0378-620X 15:5<807 1992 15 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer