caa a22 4500 467931755 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s00020-005-1406-0 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1406-0 Trent Tavan Department of Mathematics, The University of Alabama, P.O. Box 870350, 35487-0350, Tuscaloosa, AL, USA aut A Vector-valued H p Corona Theorem on the Polydisk [Elektronische Daten] [Tavan Trent] Abstract.: For the corona problem on the bidisk, we find analytic solutions belonging to the Orlicz-type space $$\exp {\left( {L^{{\frac{1}{3}}} } \right)}.$$ In addition, for 1 ≤ p < ∞, an $$ \mathcal{H}^{p} {\left( {D^{2} } \right)}$$ corona theorem is established. Similar techniques can be used for the polydisk. Birkhäuser Verlag, Basel, 2006 Corona theorem nationallicence polydisk nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 56/1(2006-09-01), 129-149 0378-620X 56:1<129 2006 56 20 https://doi.org/10.1007/s00020-005-1406-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1406-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Trent Tavan Department of Mathematics, The University of Alabama, P.O. Box 870350, 35487-0350, Tuscaloosa, AL, USA aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 56/1(2006-09-01), 129-149 0378-620X 56:1<129 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer