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1. |
Record Nr. |
UNINA9910794335703321 |
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Autore |
Jaye Benjamin <1984-> |
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Titolo |
The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2020] |
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©2020 |
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ISBN |
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Descrizione fisica |
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1 online resource (110 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; Number 1293 |
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Classificazione |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Calderón-Zygmund operator |
Laplacian operator |
Lipschitz spaces |
Potential theory (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Forthcoming, volume 266, number 1293." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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"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 |
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removability results for Lipschitz harmonic functions"-- |
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2. |
Record Nr. |
UNINA9910157413903321 |
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Autore |
Graves Sue |
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Titolo |
Lion's in a Flap: A Book About Feeling Worried |
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Pubbl/distr/stampa |
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ISBN |
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Descrizione fisica |
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1 online resource (32 p.) : ill |
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Collana |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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A lively picture book that examines the issue of being worried in an amusing but reassuring way through animal characters - perfect for young children who have feelings of anxiety and worry. The story offers a gentle way in to discussing the things children worry about. At the end of the story there are notes for parents and teachers with suggestions of ways to help children deal with anger.Lion is off on a school trip to Jungle Land - the most exciting theme park EVER! He should be thrilled, but he cannot stop worrying and it's ruining the trip for him. Can Miss Bird and his friends help him to relax and have fun?It is part of a series Behaviour Matters, which is perfect for sharing with children as a gentle means of discussing their emotions, boosting self-esteem and reinforcing good behaviour. Each book has a fun story featuring fantastic characters which is backed up by suggestions for activities and ideas to talk through together. They support the Personal, Social and Emotional Development Area of Learning in the Early Years Foundation Stage.'Excellent for sharing and encouraging discussion... we can all learn from the approach taken in this series.' Parents in Touch |
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