The two-parameter dyadic derivative and dyadic Hardy spaces

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is shown that the maximal operator of the two-parameter dyadic derivative of the dyadic integral is bounded from the two-parameter dyadic Hardy-Lorentz space Hp,qto Lp,q (1/2 < p < ∞, 0 < q ≤ ∞) and is of weak type (H1#, L1) where the Hardy space H1# is defined by the hybrid maximal function. As a consequence, we obtain that the dyadic integral of a two-dimensional function f ∈ H1# ⊃ L log L is dyadically differentiable and its derivative is f a.e.

Original languageEnglish
Pages (from-to)143-160
Number of pages18
JournalAnalysis Mathematica
Volume26
Issue number2
Publication statusPublished - Dec 1 2000

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'The two-parameter dyadic derivative and dyadic Hardy spaces'. Together they form a unique fingerprint.

  • Cite this