Unital Compact Homomorphisms between Extended Analytic Lipschitz Algebras

Davood Alimohammadi and Maliheh Mayghani

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Let X and K be compact plane sets with K⊆X. We define A(X, K) = {f ∈ C(X) : f|K ∈ A(K)}, where A(K) = {g ∈ C(X) : g is analytic on int(K)}. For α ∈ (0,1], we define Lip(X, K, α) = {f ∈ C(X) : pα,K(f) = sup{|f(z) − f(w)|/|z − w|α : z, w ∈ K, z ≠ w}

Date: 2011
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