On zeros of functions analytic in a half plane and completeness of systems of exponents

Equivalent definition of some weighted Hardy spaces

“…Since, according to condition(2), the function f belongs to the Smirnov space E p ʚ E 1 in each square  a , equality (3) remains true. By virtue of the Hölder inequality,…”

On estimations of solutions of one convolution type equation

“…Previous and other properties of these spaces are presented in [14]. The singular boundary function h of G ∈ H p σ (C + ) is defined up to an additive constant and to the values in points of continuity by equality…”

On the intersection of weighted Hardy spaces

“…In [10] B. V. Vinnitskii showed that a function f ∈ H ∞ σ (C + ) has almost everywhere on iR angular boundary values f (it) and f (it)e −ε|t| ∈ L ∞ (R) for all ε. In [11] …”

“…The theory of weighted Hardy space for the case if the weight is an exponential function considered in [2,3,[10][11][12][13]. Functions f ∈ H p σ (C + ) have angular boundary values almost everywhere on ∂C + (we denote the extension by the same УДК 517.5 2010 Mathematics Subject Classification: 30D15, 30H10.…”