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From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement

Agora, Elona et al · Springer · 2022

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Author / responsible party
Agora, Elona et al
Publisher
Springer
Year
2022
ISSN
1050-6926
ISSN
1050-6926
Language
English

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We shall prove pointwise estimates for the decreasing rearrangement of Tf, where T covers a wide range of interesting operators in Harmonic Analysis such as operators satisfying a Fefferman-Stein inequality, the Bochner-Riesz operator, rough operators, sparse operators, Fourier multipliers, etc. In particular, our main estimate is of the form (Tf)∗(t)≤C(1/t ∫ t0 f∗(s)ds+∫∞t(1+log s/t)−1 φ(1+log s/t) f∗(s)ds/s), where φ is determined by the Muckenhoupt Ap-weight norm behaviour of the operator. Fil: Agora, Elona. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina Fil: Antezana, Jorge Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de La Plata; Argentina

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APA 7

Agora, E. E. A. (2022). From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement. http://hdl.handle.net/11336/251592

MLA

Agora, Elona et al. "From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement." 2022. http://hdl.handle.net/11336/251592.

Chicago

Agora, Elona et al. 2022. "From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement.". http://hdl.handle.net/11336/251592.

Harvard

Agora, E. E. A. 2022, From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement, Springer, available at: http://hdl.handle.net/11336/251592 [Accessed 8 Aug. 2026].

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Title
From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement
Author / contributors
Agora, Elona et al
Publisher
Springer
Publication year
2022
ISSN
1050-6926
ISSN
1050-6926
Language
English

Subjects

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BOCHNER-RIESZ OPERATOR; CALDERON TYPE OPERATORS; DECREASING REARRANGEMENT; FEFFERMAN STEIN INEQUALITY; FOURIER MULTIPLIERS; ROUGH OPERATORS; SPARSE OPERATORS; WEIGHTED LORENTZ SPACES; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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