# Article

Ufa Mathematical Journal
Volume 3, Number 4, pp. 119-129

# An equivalence integral norm on the dual space

Napalkov V.V.

In the present paper, we consider the problem of describing the dual space in terms of the Hilbert transform. We establish nesseccary and sufficiently conditions for the space $B_2(G,\mu)$, under the dual space $\widetilde B_2(G,\mu)$ has an equivalence integral norm. We find the form of this norm. Using the general result of this work, we specify recently result of the author and R.S. Yulmukhametov. The method of this paper is based on the theory orhtosimilar systems. This method can be used for the solve of problem of describing the dual space in terms of the Fourier-- Lapalace transform and in terms others system of functions.