/pdf/norm-convergence-of-moving-averages-for-tau-integrable-4pewy7u5yz.pdf

Norm Convergence of Moving Averages for $\tau$-Integrable Operators

/pdf/general-and-weighted-averages-of-admissible-superadditive-27w5xytkpt.pdf

General and weighted averages of admissible superadditive processes

It is shown that moving averages sequences are good in the mean for multiparameter strongly superadditive processes in L1, and good in the pmean for multiparameter admissible superadditive processes in Lp, 1 ≤ p <∞. Also, using a decomposition theorem in Lp-spaces, a.e. convergence of the moving averages of multiparameter superadditive processes with respect to positive Lp-contractions, 1 < p <∞, is obtained.

/pdf/convergence-of-moving-averages-of-multiparameter-4wap94kb89.pdf

Convergence of moving averages of multiparameter superadditive processes.

/pdf/on-the-sequences-that-are-good-in-the-mean-for-positive-l-p-3rwxesmuo7.pdf

On the sequences that are good in the mean for positive $L_{p}$-contractions, $1 \leq p \leq \infty$

On approach regions for the conjugate Poisson integral and singular integrals

Let T = (ju)uçjd be a semigroup of measure preserving transformations on a measure space (Q, f, ji). The main result of the paper is the proof of a.e. convergence for the moving averages #/„ where {Fjn} is a superadditive process and {/„} is a sequence of cubes in Z+ satisfying the \"cone-condition\". The identification of the limit is given. A moving local theorem is also proved.

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0008414X0004640X

Moving ergodic theorems for superadditive processes

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Moving ergodic theorems for superadditive processes