Lipschitz Linearization of the Maximal Hyperbolic Cross Multiplier

Olli Saari; Christoph Thiele

doi:10.1007/s00041-017-9575-1

Lipschitz Linearization of the Maximal Hyperbolic Cross Multiplier

Olli Saari^*, Christoph Thiele

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Univ Bonn, University of Bonn, Inst Crop Sci & Resource Conservat INRES

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

1 Sitaatiot (Scopus)

Abstrakti

We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linearizing function, we obtain L ^p(R ²) → L ^p(R ²) bounds for all 1 < p< ∞. We discuss various related results.

Alkuperäiskieli	Englanti
Sivut	167–183
Sivumäärä	17
Julkaisu	Journal of Fourier Analysis and Applications
Vuosikerta	25
Numero	1
DOI - pysyväislinkit	https://doi.org/10.1007/s00041-017-9575-1
Tila	Julkaistu - 15 helmik. 2019
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1007/s00041-017-9575-1

https://arxiv.org/abs/1701.05093

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abstract = "We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linearizing function, we obtain L p(R 2) → L p(R 2) bounds for all 1 < p< ∞. We discuss various related results. ",

keywords = "Hyperbolic cross, Maximal functions, Multipliers, Square functions",

author = "Olli Saari and Christoph Thiele",

year = "2019",

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doi = "10.1007/s00041-017-9575-1",

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T1 - Lipschitz Linearization of the Maximal Hyperbolic Cross Multiplier

AU - Saari, Olli

AU - Thiele, Christoph

PY - 2019/2/15

Y1 - 2019/2/15

N2 - We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linearizing function, we obtain L p(R 2) → L p(R 2) bounds for all 1 < p< ∞. We discuss various related results.

AB - We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linearizing function, we obtain L p(R 2) → L p(R 2) bounds for all 1 < p< ∞. We discuss various related results.

KW - Hyperbolic cross

KW - Maximal functions

KW - Multipliers

KW - Square functions

UR - http://www.scopus.com/inward/record.url?scp=85032673753&partnerID=8YFLogxK

U2 - 10.1007/s00041-017-9575-1

DO - 10.1007/s00041-017-9575-1

M3 - Article

AN - SCOPUS:85032673753

VL - 25

SP - 167

EP - 183

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869

IS - 1

ER -

Lipschitz Linearization of the Maximal Hyperbolic Cross Multiplier

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