Weighted weak type (1,1) estimates for oscillatory singular integrals

• Autorzy: Shuichi Sato
• Języki publikacji: EN

Abstrakty

EN

We consider the $A_1$-weights and prove the weighted weak type (1,1) inequalities for certain oscillatory singular integrals.

Słowa kluczowe

EN

rough operators; oscillatory singular integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 141
• Numer: 1
• Strony: 1-24

Daty

wydano

2000

otrzymano

1996-07-25

poprawiono

1999-03-18

poprawiono

2000-02-07

Twórcy

autor

Shuichi Sato

• Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa 920-1192, Japan

Bibliografia

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• [6] M. Christ, Weak type endpoint bounds for Bochner-Riesz multipliers, Rev. Mat. Iberoamericana 3 (1987), 25-31.
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• [10] S. Sato, Some weighted weak type estimates for rough operators, Math. Nachr. 187 (1997), 211-240.
• [11] A. Vargas, Weighted weak type (1,1) bounds for rough operators, J. London Math. Soc. (2) 54 (1996), 297-310