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[null,"1.","Record Nr.",null,"UNINA9910813548203321"]
[null,null,"Autore",null,"Jaye Benjamin <1984->"]
[null,null,"Titolo",null,"The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others]"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2020]"]
[{"$nulls":4},"©2020"]
[null,null,"ISBN",null,"1-4704-6249-4"]
[null,null,"Descrizione fisica",null,"1 online resource (110 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; Number 1293"]
[null,null,"Classificazione",null,"42B3731B15"]
[null,null,"Disciplina",null,"515.73"]
[null,null,"Soggetti",null,"Harmonic analysis"]
[{"$nulls":4},"Calderón-Zygmund operator"]
[{"$nulls":4},"Laplacian operator"]
[{"$nulls":4},"Lipschitz spaces"]
[{"$nulls":4},"Potential theory (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Forthcoming, volume 266, number 1293.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"The general scheme : finding a large Lipschitz oscillation coefficient -- Upward and downward domination -- Preliminary results regarding reflectionless measures -- The basic energy estimates -- Blow up I : The density drop -- The choice of the shell -- Blow up II : doing away with [epsilon] -- Localization around the shell -- The scheme -- Suppressed kernels -- Step I : Calderón-Zygmund theory (from a distribution to an Lp-function) -- Step II : The smoothing operation -- Step III : The variational argument -- Contradiction."]
[null,null,null,"Sommario/riassunto","\"Fix d [greater than or equal to] 2, and s [epsilon] (d - 1, d). We characterize the non-negative locally finite non-atomic Borel measures [mu] in Rd for which the associated s-Riesz transform is bounded in L²([mu]) in terms of the Wolff energy. This extends the range of s in which the Mateu-Prat-Verdera characterization of measures with bounded s-Riesz transform is known. As an application, we give a metric characterization of the removable sets for locally Lipschitz continuous solutions of the fractional Laplacian operator (-[delta])[infinity]/2, [infinity] [epsilon] (1, 2), in terms of a well-known capacity from non-linear potential theory. This result contrasts sharply with removability results for Lipschitz harmonic functions\"--"]