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Eight cubes of primes and powers of 2

100%

Liu Z., Lü G.

Acta Arithmetica

2010

tom 145

nr 2

171-192

Transference and restriction of maximal multiplier operators on Hardy spaces

100%

Liu Z., Lu S.

Studia Mathematica

1993

tom 105

nr 2

121-134

The aim of this paper is to establish transference and restriction theorems for maximal operators defined by multipliers on the Hardy spaces $H^p(ℝ^n)$ and $H^p(𝕋^n)$, 0 < p ≤ 1, which generalize the results of Kenig-Tomas for the case p > 1. We prove that under a mild regulation condition, an $L^∞(ℝ^n)$ function m is a maximal multiplier on $H^p(ℝ^n)$ if and only if it is a maximal multiplier on $H^p(𝕋^n)$. As an application, the restriction of maximal multipliers to lower dimensional Hardy spaces is considered.

Ograniczanie wyników

1 Acta Arithmetica

1 Studia Mathematica

2 Liu Z.

1 Lu S.

1 Lü G.

1 2010

1 1993

Wyniki wyszukiwania

Eight cubes of primes and powers of 2

Transference and restriction of maximal multiplier operators on Hardy spaces