On the cyclic behavior of singular inner functions in Besov and sequence spaces
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DOI: 10.1007/s43037-025-00467-w
Abstract: We show the existence of singular inner functions that are cyclic in some Besov-type spaces of analytic functions over the unit disc. Our sufficient condition is stated only in terms of the modulus of smoothness… read more here.
Keywords: inner functions; behavior singular; document; cyclic behavior ... See more keywords
Behavior of Singular Integral Along the Real Axis with Density Vanishing Near Infinity Point
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DOI: 10.3103/s1066369x19110082
Abstract: We study behavior of singular integral at neighborhood of the point at infinity. Its density satisfies the Holder condition on the any finite part of the real axis, and at the infinity point it vanishes… read more here.
Keywords: behavior singular; real axis; infinity point; point ... See more keywords