Carleson measures for the Dirichlet–Orlicz space
Tom 240 / 2018
Studia Mathematica 240 (2018), 1-20
MSC: Primary 46E35; Secondary 46E30, 31C25.
DOI: 10.4064/sm8274-3-2017
Opublikowany online: 31 August 2017
Streszczenie
We introduce the Dirichlet–Orlicz space as the space of holomorphic functions on the open complex unit disk having the Orlicz norm of their first derivative finite. Then we characterize by means of Carleson type boxes the positive \sigma -finite measures \mu which realize the embeddings of the Dirichlet–Orlicz space into classical Orlicz spaces defined on the measure space (\mathbb D, \mu ).
