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Convergence of iterates of convolution operators in L-P spaces

Mustafayev, Heybetkulu


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{
  "DOI": "10.1016/j.bulsci.2019.01.005", 
  "abstract": "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 >= 0) parallel to mu(n)parallel to(1) < 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 <= p < infinity) spaces. Some related problems are also discussed. (C) 2019 Elsevier Masson SAS. All rights reserved.", 
  "author": [
    {
      "family": "Mustafayev", 
      "given": " Heybetkulu"
    }
  ], 
  "container_title": "BULLETIN DES SCIENCES MATHEMATIQUES", 
  "id": "68393", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "page": "61-92", 
  "title": "Convergence of iterates of convolution operators in L-P spaces", 
  "type": "article-journal", 
  "volume": "152"
}
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