Strong convergence theorem for Walsh-Marcinkiewicz means

• It is known that the maximal operator ofWalsh-Marcinkiewicz means is bounded from the dyadic martingale Hardy space Hp to the space Lp for p > 2/3 and the condition p > 2/3 is essential. In the case p = 2/3 the boundedness of the maximal operator does not hold. This means that the investigation of the maximal operator at the endpoint case p = 2/3 plays an important role. The main aim of this paper is to prove a strong convergence theorem for the Walsh-Marcinkiewicz means on the Hardy space H2/3.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

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Matematik

Mathematics

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