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$L^{p}$ weighted inequalities for the dyadic square function

Akihito Uchiyama — 1995

Studia Mathematica

We prove that $ʃ {(S_{d} f)}^{p} V d x \leq C_{p, n} ʃ {| f |}^{p} M_{d}^{([p / 2] + 2)} V d x$ , where $S_{d}$ is the dyadic square function, $M_{d}^{(k)}$ is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.

Characterization of $H^{p} (R^{n})$ in terms of generalized Littlewood-Paley g-functions

Akihito Uchiyama — 1985

Studia Mathematica

Good λ inequalities for the area integral and the nontangential maximal function

Takafumi Murai; Akihito Uchiyama — 1986

Studia Mathematica

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L p weighted inequalities for the dyadic square function

Characterization of H p ( R n ) in terms of generalized Littlewood-Paley g-functions

Good λ inequalities for the area integral and the nontangential maximal function

$L^{p}$ weighted inequalities for the dyadic square function

Characterization of $H^{p} (R^{n})$ in terms of generalized Littlewood-Paley g-functions