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Currently displaying 1 – 3 of 3

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Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class

Yanbo Ren; Shuang Ding — 2022

Czechoslovak Mathematical Journal

We collect known and prove new necessary and sufficient conditions for the weighted weak type maximal inequality of the form $Φ_{1} (λ) ϱ ({x \in X : M_{μ} f (x) > λ}) \leq c \int_{X} Φ_{2} (c | f (x) |) σ (x) d μ (x),$ which extends some known results.

A simple proof of Schipp's theorem.

Ren, Yanbo; Ren, Junyan — 2007

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Atomic decompositions for weak Hardy spaces w $𝒬_{p}$ and w $𝒟_{p}$ .

Ren, Yanbo; Yang, Dewu — 2008