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020 a| 9781470450281q| (paperback);

020 z| 9781470469139q| (epub);

035 a| (WaSeSS)ssj0002593455;

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100 1 a| Martikainen, Henri,d| 1986-?| UNAUTHORIZED;

245 10 a| Dyadic-probabilistic methods in bilinear analysish| [electronic resource] /c| Henri Martikainen, Emil Vuorinen.;

260 a| Providence, RI :b| American Mathematical Society,c| 2021.;

300 a| v, 82 pages ;c| 26 cm;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Number 1344;

500 a| "November 2021. Volume 274.";

504 a| Includes bibliographical references.;

506 a| Available only to authorized users.;

520 a| "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"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Bilinear forms.=| ^A364575;

650 0 a| Calderón-Zygmund operator.=| ^A568089;

650 0 a| Dyadic analysis (Social sciences)=| ^A1234249;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Vuorinen, Emil,d| 1988-?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6852910;

880 0 6| 505-00a| Adapted Cotlar type inequality and testing condition for Tμ,# -- Suppressed bilinear singular integrals -- The big piece Tb -- End point estimates -- Bilinear good lambda method -- Proof of the main theorem -- Weakening the kernel estimates: modified Dini-condition -- Briefly about square functions.;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512799-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/14/2025x| EBOOKz| HERESOURCE;

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Dyadic-probabilistic methods in bilinear analysis / Henri Martikainen, Emil Vuorinen.

Author/creator	Martikainen, Henri, 1986-
Other author	Vuorinen, Emil, 1988-
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, 2021.
Description	v, 82 pages ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Bilinear forms. Calderón-Zygmund operator. Dyadic analysis (Social sciences)

Series	Memoirs of the American Mathematical Society, 0065-9266 ; Number 1344
Abstract	"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.
General note	"November 2021. Volume 274."
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022008005
ISBN	9781470450281 (paperback)
ISBN	(epub)

Dyadic-probabilistic methods in bilinear analysis / Henri Martikainen, Emil Vuorinen.

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