On a class of singular measures satisfying a strong annular decay condition

Ángel Arroyo; José G. Llorente

doi:10.1090/proc/14576

On a class of singular measures satisfying a strong annular decay condition

Ángel Arroyo, José G. Llorente

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c 2019 American Mathematical Society A metric measure space (X, d, μ) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that μ(B(x, R) \ B(x, r)) ≤ C RR− r μ(B(x, R)) for each x ∈ X and all 0 < r ≤ R. If d∞ is the distance induced by the ∞-norm in RN, we construct examples of singular measures μ on RN such that (RN , d∞, μ) satisfies the strong annular decay condition.

Idioma original	Anglès
Pàgines (de-a)	4409-4423
Nombre de pàgines	15
Revista	Proceedings of the American Mathematical Society
Volum	147
Número	10
DOIs	https://doi.org/10.1090/proc/14576
Estat de la publicació	Publicada - 17 de maig 2019

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Altres arxius i enllaços

Aspectos probabilísticos y geométricos de la teoría de funciones
Nicolau Nos, A. (Investigador/a principal), Gonzalez Llorente, J. (Co-Investigador/a Principal), Arroyo Garcia, A. R. (Col.laborador/a), Donaire Benito, J. J. (Investigador/a), González Fuentes, M. J. (Investigador/a), Levi , M. (Investigador/a), Soler Gibert, O. (Col.laborador/a), Limani, A. (Col.laborador/a) & Macia Medina, V. J. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/18 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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title = "On a class of singular measures satisfying a strong annular decay condition",

abstract = "c 2019 American Mathematical Society A metric measure space (X, d, μ) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that μ(B(x, R) \textbackslash{} B(x, r)) ≤ C RR− r μ(B(x, R)) for each x ∈ X and all 0 < r ≤ R. If d∞ is the distance induced by the ∞-norm in RN, we construct examples of singular measures μ on RN such that (RN , d∞, μ) satisfies the strong annular decay condition.",

keywords = "Annular decay condition, Bernoulli product, PROPERTY, REGULARITY, REVERSE HOLDER CLASSES, THEOREMS, doubling measure, metric measure space",

author = "{\'A}ngel Arroyo and Llorente, \{Jos{\'e} G.\}",

year = "2019",

month = may,

day = "17",

doi = "10.1090/proc/14576",

language = "English",

volume = "147",

pages = "4409--4423",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - On a class of singular measures satisfying a strong annular decay condition

AU - Arroyo, Ángel

AU - Llorente, José G.

PY - 2019/5/17

Y1 - 2019/5/17

N2 - c 2019 American Mathematical Society A metric measure space (X, d, μ) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that μ(B(x, R) \ B(x, r)) ≤ C RR− r μ(B(x, R)) for each x ∈ X and all 0 < r ≤ R. If d∞ is the distance induced by the ∞-norm in RN, we construct examples of singular measures μ on RN such that (RN , d∞, μ) satisfies the strong annular decay condition.

AB - c 2019 American Mathematical Society A metric measure space (X, d, μ) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that μ(B(x, R) \ B(x, r)) ≤ C RR− r μ(B(x, R)) for each x ∈ X and all 0 < r ≤ R. If d∞ is the distance induced by the ∞-norm in RN, we construct examples of singular measures μ on RN such that (RN , d∞, μ) satisfies the strong annular decay condition.

KW - Annular decay condition

KW - Bernoulli product

KW - PROPERTY

KW - REGULARITY

KW - REVERSE HOLDER CLASSES

KW - THEOREMS

KW - doubling measure

KW - metric measure space

UR - http://www.mendeley.com/research/class-singular-measures-satisfying-strong-annular-decay-condition

UR - https://www.scopus.com/pages/publications/85073337092

U2 - 10.1090/proc/14576

DO - 10.1090/proc/14576

M3 - Article

SN - 0002-9939

VL - 147

SP - 4409

EP - 4423

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

On a class of singular measures satisfying a strong annular decay condition

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