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math.FA2007
On the connected component of compact composition operators on the Hardy space
Eva A. Gallardo-Gutiérrez, Maria J. González, Pekka Nieminen +1
We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space on the unit disc. This answers a questi…
math.FA2006
Pointwise characterizations of Hardy-Sobolev functions
Pekka Koskela, Eero Saksman
We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)<p <=1. In addition, classical Hardy inequalities are extended to t…