Z. Buczolich

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20032006

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L^{1}

counting problem in ergodic theory

2 citations · 2 across the 1 of their papers we have counts for

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math.DS2006

Universally L^1 good sequences with gaps tending to infinity

Zoltan Buczolich

A universally L^1 good sequence n_k is constructed with n_{k+1}-n_k tending to infinity. For ergodic transformations non-conventional ergodic averages of L^1 functions computed by…

math.DS2005

Divergent Square Averages

Zoltan Buczolich, R. Daniel Mauldin

We answer a question of J. Bourgain. We show that the sequence n^2 is L^1-universally bad.

math.DS2003★ 2 cited

An $L^{1}$ counting problem in ergodic theory

Idris Assani, Zoltan Buczolich, Daniel Mauldin

We solve the following counting problem for measure preserving transformations. For $f \in L_{+}^{1} (μ)$ , is it true that $\ds \sup_n\frac{\bN_n(f)(x)}{n} <\infty,$ where $$\ds\bN_n(f)(…

Universally L^1 good sequences with gaps tending to infinity

Divergent Square Averages

An L1 counting problem in ergodic theory

An $L^{1}$ counting problem in ergodic theory