Weighted Laws of Large Numbers and Weighted One-Sided ergodic Hilbert\n Transforms on Vector Valued L_p-spaces

2020/01/17 by Farrukh Mukhamedov, Mukhamedov, Farrukh
Decision Sciences · Mathematics · #28D05 #37A05 #47H25 #60G10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Probability (math.PR) #Probability and Risk Models

paper · pdf · doi:10.48550/arxiv.2001.06262

openalex publication_date 2020/01/17 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

A more general notion of weight called admissible is introduced and then an\ninvestigation is carried out on the a.e. convergence of weighted strong laws of\nlarge numbers and their applications to weighted one-sided ergodic Hilbert\ntransforms on vector-valued L_p-spaces. Furthermore, the obtained results are\napplied to the a.e. convergence of random modulated weighted ergodic series,\nwhich is also new in the classical setting.\n

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