This article is cited in 62 papers

The imbedding of certain function classes $H_p^\omega$

P. L. Ul'yanov


Abstract: Sufficient conditions on the modulus of continuity $\omega(\delta)$ are found for an imbedding of function classes $H_p^{\omega(\delta)}\subset\varphi(L)$. It is shown that in a number of cases these conditions are also necessary.

UDC: 517.5

MSC: 26A15, 26B05, 40A05, 42A20

Received: 13.07.1967

 English version: Mathematics of the USSR-Izvestiya, 1968, 2:3, 601–637

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