Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and AtomicDecomposition in the Multi-Parameter Flag Setting Alex Jeffrey and situations that occurs in

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Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and AtomicDecomposition in the Multi-Parameter Flag Setting Alex Jeffrey and situations that occurs inIn this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi parameter flag setting. These characterisations include those via, the non tangential and radial maximal function, the Littlewood Paley square function and area integral, Riesz transforms and the atomic decom position in the multi parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calder?