Geodesic
Calderón–Zygmund decompositions in tent spaces and weak-type endpoint bounds for two quadratic functionals of Stein and Fefferman–Stein
Studia Mathematica, Tome 239 (2017) no. 2, pp. 123-132
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We prove some Calderón–Zygmund type decompositions for functions in the tent spaces introduced by Coifman, Meyer and Stein. These decompositions will be useful in the operator theory on tent spaces developed in the author’s 2015 thesis. As an application of these decompositions to the study of quadratic functionals on tent spaces, we give a unified proof for tent space generalizations of C. Fefferman’s endpoint weak-type estimates for grand square functions and of C. Fefferman and Stein’s endpoint weak-type estimates for box maximal functions.
DOI : 10.4064/sm8458-3-2017
Keywords: prove calder zygmund type decompositions functions tent spaces introduced coifman meyer stein these decompositions useful operator theory tent spaces developed author thesis application these decompositions study quadratic functionals tent spaces unified proof tent space generalizations fefferman endpoint weak type estimates grand square functions fefferman stein endpoint weak type estimates box maximal functions 
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     author = {Yi Huang},
     title = {Calder\'on{\textendash}Zygmund decompositions in tent spaces and weak-type endpoint bounds for two quadratic functionals of {Stein} and {Fefferman{\textendash}Stein}},
     journal = {Studia Mathematica},
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Yi Huang. Calderón–Zygmund decompositions in tent spaces and weak-type endpoint bounds for two quadratic functionals of Stein and Fefferman–Stein. Studia Mathematica, Tome 239 (2017) no. 2, pp. 123-132. doi: 10.4064/sm8458-3-2017

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