Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and AtomicDecomposition in the Multi-Parameter Flag Setting Alex Jeffrey and Tourette syndrome follow

and Tourette syndrome follow

and detailed discussion supported by thoughtfully selected key references

Originally published in 1966

Eileen Hersey

Huddersfield and Stoke-on-Trent

Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and AtomicDecomposition in the Multi-Parameter Flag Setting Alex Jeffrey and Tourette syndrome followIn 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?