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Convergence of iterates of convolution operators in L-P spaces

Mustafayev, Heybetkulu


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    <subfield code="a">Let G be a locally compact abelian group and let M (G) be the measure algebra of G. Assume that mu is an element of M (G) is power bounded, that is, sup(n &amp;gt;= 0) parallel to mu(n)parallel to(1) &amp;lt; infinity. This paper is concerned mainly with finding necessary and sufficient conditions for strong convergence of iterates of the convolution operators T(mu)f : = mu * f in L-P (G) (1 &amp;lt;= p &amp;lt; infinity) spaces. Some related problems are also discussed. (C) 2019 Elsevier Masson SAS. All rights reserved.</subfield>
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    <subfield code="a">Convergence of iterates of convolution operators in L-P spaces</subfield>
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