01132nam0 22002651i 450 UON0021906220231205103406.61684-249-0495-820030730d1973 |0itac50 baspaES|||| |||||ˆEl‰ estilo de Horacio Quiroga en sus cuentosNicolás A. S. Bratosevich. MadridGredos, c1973. 204 p. ; 21 cm001UON000882302001 Biblioteca Romanica Hispanica. II. Estudios y EnsayosDirigida por Damaso Alonso188QUIROGA HORACIOUONC046611FIESMadridUONL000218Ur863Letteratura uruguaiana. Narrativa21BRATOSEVICHNicolás A. S.UONV132823684799GredosUONV259537650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00219062SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI Isp.A Ur 860 b 011 SI SP 6501 5 011 Estilo de Horacio Quiroga en sus cuentos1265922UNIOR05247nam 22006613 450 991096074390332120231110234130.097814704722761470472279(MiAaPQ)EBC29731900(Au-PeEL)EBL29731900(CKB)24767186500041(OCoLC)1343250653(PPN)270359117(EXLCZ)992476718650004120220904d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMaximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting1st ed.Providence :American Mathematical Society,2022.©2022.1 online resource (118 pages)Memoirs of the American Mathematical Society ;v.279Print version: Han, Yongsheng Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting Providence : American Mathematical Society,c2022 9781470453459 Cover -- Title page -- Acknowledgement -- Notation -- Chapter 1. Introduction and Statement of Main Results, Applications -- 1.1. Background and Main Results -- 1.2. Statement of Main Results -- 1.3. Strategy of Proofs of the Main Results -- 1.4. Applications and Related Open Questions -- Chapter 2. Flag Littlewood-Paley Estimate: | _{ }( )|₁, | _{ }( )|₁ and | _{ }( )|₁ -- 2.1. Discrete Calderón Reproducing Formula -- 2.2. Flag Plancherel-Pólya Type Inequalities -- 2.3. The Equivalence of | _{ }( )|₁ and | _{ }( )|₁ -- 2.4. The Estimate | _{ }( )|₁≲| _{ }( )|₁ -- Chapter 3. Estimates of Area Functions, Maximal Functions and Riesz Transforms via Flag Poisson Integral Technique -- 3.1. The Estimate | _{ }( )|₁≲| *|₁ -- 3.2. The Estimate | *|₁≲| ⁺|₁ -- 3.3. The Estimate | ⁺|₁≲∑ⱼ₌₁^{ + }∑_{ =1}^{ }| _{ , }( )|₁+| |₁ -- Chapter 4. Flag Maximal Functions: from Poisson Kernel to General Schwartz Kernels -- 4.1. The Equivalence | *|₁≈| *ᵩ( )|₁ -- 4.2. The Equivalence | ⁺|₁≈| ⁺ᵩ( )|₁ -- Chapter 5. Atomic Decompositions of Flag Hardy Spaces -- 5.1. Heat Kernel and Finite Speed Propagation -- 5.2. Atomic Decomposition for ¹_{ }(ℝⁿ×ℝ^{ }). -- 5.3. Proof of the Atomic Decomposition -- Chapter 6. Estimates of Riesz Transforms and Area Function via Atomic Decomposition -- Bibliography -- Back Cover."In this monograph, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood- Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calderon reproducing formulae in the flag setting and a version of the Plancherel-Polya inequalities for flag quadratic forms; (2) introducing the maximal function and area function via flag Poisson kernels and flag version of harmonic functions; (3) developing an atomic decomposition via the finite speed propagation and area function in terms of flag heat semigroups. As a consequence of these real variable methods, we obtain the full characterisations of the multi-parameter Hardy space with the flag structure"--Provided by publisher.Memoirs of the American Mathematical Society Hardy spacesMaximal functionsLittlewood-Paley theorySingular integralsHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- $H^p$-spacesmscHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theorymscHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)mscHardy spaces.Maximal functions.Littlewood-Paley theory.Singular integrals.Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- $H^p$-spaces.Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory.Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).515/.2433515.243342B3042B2542B20mscHan Yongsheng505470Lee Ming-Yi1801839Li Ji654528MiAaPQMiAaPQMiAaPQBOOK9910960743903321Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting4347235UNINA