The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Boundary functions in L 2 H ( 𝔹 n ) ”

Boundary functions on a bounded balanced domain

Piotr Kot (2009)

Czechoslovak Mathematical Journal

Similarity:

We solve the following Dirichlet problem on the bounded balanced domain Ω with some additional properties: For p > 0 and a positive lower semi-continuous function u on ∂ Ω with u ( z ) = u ( λ z ) for | λ | = 1 , z ∈ ∂ Ω we construct a holomorphic function f ∈ 𝕆 ( Ω ) such that u ( z ) = ∫ 𝔻 z | f | p d 𝔏 𝔻 z 2 for z ∈ ∂ Ω , where 𝔻 = { λ ∈ ℂ | λ | < 1 } .

The Lindelöf principle in ℂn

Peter Dovbush (2013)

Open Mathematics

Similarity:

Let D be a bounded domain in ℂn. A holomorphic function f: D → ℂ is called normal function if f satisfies a Lipschitz condition with respect to the Kobayashi metric on D and the spherical metric on the Riemann sphere ̅ℂ. We formulate and prove a few Lindelöf principles in the function theory of several complex variables.