03582nam 22006013 450 991095984970332120231110232436.097814704691391470469138(MiAaPQ)EBC6852910(Au-PeEL)EBL6852910(CKB)20667666200041(RPAM)22493598(OCoLC)1295274074(EXLCZ)992066766620004120220117d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDyadic-Probabilistic Methods in Bilinear Analysis1st ed.Providence :American Mathematical Society,2022.©2021.1 online resource (94 pages)Memoirs of the American Mathematical Society ;v.274"November 2021. Volume 274."Print version: Martikainen, Henri Dyadic-Probabilistic Methods in Bilinear Analysis Providence : American Mathematical Society,c2022 9781470450281 Includes bibliographical references.Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Adapted Cotlar type inequality and testing condition for _{ ,♯} -- Chapter 3. Suppressed bilinear singular integrals -- Chapter 4. The big piece -- Chapter 5. End point estimates -- Chapter 6. Bilinear good lambda method -- Chapter 7. Proof of the main theorem -- Chapter 8. Weakening the kernel estimates: modified Dini-condition -- Chapter 9. Briefly about square functions -- Bibliography -- Back Cover."We demonstrate and develop dyadic-probabilistic methods in connection with non-homogeneous bilinear operators, namely singular integrals and square functions. We develop the full non-homogeneous theory of bilinear singular integrals using a modern point of view. The main result is a new global Tb theorem for Calderon-Zygmund operators in this setting. Our main tools include maximal truncations, adapted Cotlar type inequalities and suppression and big piece methods. While proving our bilinear results we also advance and refine the linear theory of Calderon-Zygmund operators by improving techniques and results. For example, we simplify and make more efficient some non-homogeneous summing arguments appearing in T1 type proofs. As a byproduct, we can manage with ease quite general modulus of continuity in the kernel estimates. Our testing conditions are also quite general by virtue of the big piece method of proof"--Provided by publisher.Memoirs of the American Mathematical Society Bilinear formsCalderón-Zygmund operatorDyadic analysis (Social sciences)Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)mscBilinear forms.Calderón-Zygmund operator.Dyadic analysis (Social sciences)Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).515/.2433515.243342B20mscMartikainen Henri1802069Vuorinen Emil1802070MiAaPQMiAaPQMiAaPQBOOK9910959849703321Dyadic-Probabilistic Methods in Bilinear Analysis4347600UNINA