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COMPLEX CONVEXITY AND VECTOR-VALUED LITTLEWOOD–PALEY INEQUALITIES

2003

Let 2 p 0s uch thatfHp(X) (� f(0)� p + λ (1 −| z| 2 ) p−1 � f � (z)� p dA(z)) 1/p ,f or all f ∈ H p (X). Applications to embeddings between vector-valued BMOA spaces defined via Poisson integral or Carleson measures are provided.

symbols.namesakePure mathematicsComplex convexityLittlewood paleyGeneral MathematicsMathematical analysisPoisson kernelsymbolsMathematicsBulletin of the London Mathematical Society
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