Pointwise limit theorem for a class of unbounded operators in Lr-spaces

DOI10.4064/SM179-1-5zbMath1116.47013OpenAlexW2048260107MaRDI QIDQ3419254

Ryszard Jajte

Publication date: 6 February 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm179-1-5

zbMATH Keywords

Borel summabilitymartingale transformsquare functionindividual ergodic theoremBurkholder interpolation inequality in \({\mathbb L}^r\)-spaces

Mathematics Subject Classification ID

Strong limit theorems (60F15) Ergodic theory of linear operators (47A35) Linear operators on function spaces (general) (47B38) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Abel, Borel and power series methods (40G10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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