Complex Convexity and Vector-Valued Littlewood-Paley Inequalities |
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| Authors: | Blasco Oscar; Pavlovic Miroslav |
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| Institution: | Departamento de Análysis Matemático, Universidad de Valencia 46100 Burjassot, Valencia, Spain oblasco{at}uv.es
Matematicki fakultet 11001 Belgrade, pp 550, Serbia, Yugoslavia pavlovic{at}poincare.matf.bg.ac.yu |
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| Abstract: | Let 2  p >  , and let X be a complex Banach space. It is shownthat X is p-uniformly PL-convex if and only if there exists > 0 such that  , for all f  Hp(X). Applications to embeddings between vector-valued BMOAspaces defined via Poisson integral or Carleson measures areprovided. 2000 Mathematics Subject Classification 46B20, 46L52. |
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