A note on multilinear pseudo-differential operators and iterated commutators

키워드

참고문헌 (45)

1. N. Accomazzo, "On Bloom type estimates for iterated commutators of fractional integrals", arXiv: 1712.06923, ~
2. M. F. Atiyah, "The Index of Elliptic Operators: I", The Annals of Mathematics, 87(3), pp.484~530 (1968), JSTOR[DOI]
3. D. Beltran, "Control of pseudodifferential operators by maximal functions via weighted inequalities", Trans. Amer. Math. Soc, 371(5), pp.3117~3143 (2019)[DOI]
4. D. Beltran, "Sparse bounds for pseudo-differential operators", arXiv:1711.02339v2, ~
5. Arpad Benyi, "On the Hormander classes of bilinear pseudodifferential operators II", Indiana University Mathematics Journal, 62(6), pp.1733~1764 (2013), Indiana University Mathematics Journal[DOI]
6. A. Benyi, "Strongly singular bilinear Calderon-Zygmund operators and a class of bilinear pseudodifferential operators", J. Math. Soc. Japan, 71(2), pp.569~587 (2019)[DOI]
7. Árpád Bényi, "On the Hörmander Classes of Bilinear Pseudodifferential Operators", Integral Equations and Operator Theory, 67(3), pp.341~364 (2010), Springer Science and Business Media LLC[DOI]
8. Árpád Bényi, "Almost orthogonality and a class of bounded bilinear pseudodifferential operators", Mathematical Research Letters, 11(1), pp.1~11 (2004), International Press of Boston[DOI]
9. Steven Bloom, "A Commutator Theorem and Weighted BMO", Transactions of the American Mathematical Society, 292(1), pp.103~122 (1985), JSTOR[DOI]
10. A. P. Calderon, "A Class of Bounded Pseudo-Differential Operators", Proceedings of the National Academy of Sciences, 69(5), pp.1185~1187 (1972), Proceedings of the National Academy of Sciences[DOI]
11. J. Canto, "Quantitative Cp estimates for Calderon-Zygmund operators", arXiv:1811. 05209v1, ~
12. M. Cao, "Weak and strong estimates for multilinear pseudodi erential operators", ~ (2018)
13. M. E. Cejas, "Vector-valued operators, optimal weighted estimates and the Cp condition", arXiv:1712.05781v2, ~
14. Sagun Chanillo, "Sharp function and weighted Lp estimates for a class of pseudo-differential operators", Arkiv för Matematik, 24(1-2), pp.1~25 (1985), International Press of Boston[DOI]
15. R. Coifman, "Weighted norm inequalities for maximal functions and singular integrals", Studia Mathematica, 51(3), pp.241~250 (1974), Institute of Mathematics, Polish Academy of Sciences[DOI]
16. R. Coifman, "Commutateurs d'integrales singulieres et operateurs multilin eaires", Ann. Inst. Fourier(Grenoble), 28(3), pp.xi, 177~xi, 202 (1978)
17. Yong Ding, "Higher order commutators for a class of rough operators", Arkiv för Matematik, 37(1), pp.33~44 (1999), International Press of Boston[DOI]
18. Charles Fefferman, "L p bounds for pseudo-differential operators", Israel Journal of Mathematics, 14(4), pp.413~417 (1973), Springer Science and Business Media LLC[DOI]
19. J. García–Cuerva, "Weighted norm inequalities for commutators of strongly singular integrals", Indiana University Mathematics Journal, 40(4), pp.1397~1420 (1991), Indiana University Mathematics Journal[DOI]
20. Irina Holmes, "Commutators in the two-weight setting", Mathematische Annalen, 367(1-2), pp.51~80 (2017), Springer Science and Business Media LLC[DOI]
21. I. Holmes, "Two weight inequalities for iterated commutators with Calderon-Zygmund operators", J. Operator Theory, 79(1), pp.33~54 (2018)
22. L. Hormander, "Singular integrals", pp.138~183 (1967), Amer. Math. Soc
23. Lars Hörmander, "On theL2 continuity of pseudo-differential operators", Communications on Pure and Applied Mathematics, 24(4), pp.529~535 (1971), Wiley[DOI]
24. Xi Hu, "Pseudodifferential operators with smooth symbols and their commutators on weighted Morrey spaces", Journal of Pseudo-Differential Operators and Applications, 9(2), pp.215~227 (2018), Springer Science and Business Media LLC[DOI]
25. Ha Duy Hung, "AN HARDY ESTIMATE FOR COMMUTATORS OF PSEUDO-DIFFERENTIAL OPERATORS", Taiwanese Journal of Mathematics, 19(4), pp.1097~1109 (2015), The Mathematical Society of the Republic of China[DOI]
26. J. J. Kohn, "An algebra of pseudo-differential operators", Communications on Pure and Applied Mathematics, 18(1-2), pp.269~305 (1965), Wiley[DOI]
27. Hitoshi Kumano-Go, "A problem of nirenberg on pseudo-differential operators", Communications on Pure and Applied Mathematics, 23(1), pp.115~121 (1970), Wiley[DOI]
28. I. Kunwar, "Two-weight inequalities for multilinear commutators", New York J. Math, 24, pp.980~1003 (2018)
29. A. K. Lerner, "Intuitive dyadic calculus: the basics", arXiv:1508.05639v1, ~
30. Andrei K. Lerner, "New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory", Advances in Mathematics, 220(4), pp.1222~1264 (2009), Elsevier BV[DOI]
31. Andrei K. Lerner, "On pointwise and weighted estimates for commutators of Calderón–Zygmund operators", Advances in Mathematics, 319, pp.153~181 (2017), Elsevier BV[DOI]
32. Nicholas Michalowski, "Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes", Journal of Functional Analysis, 258(12), pp.4183~4209 (2010), Elsevier BV[DOI]
33. Nicholas Michalowski, "Weighted Lp boundedness of pseudodifferential operators and applications", Canadian Mathematical Bulletin, 55(3), pp.555~570 (2012), Canadian Mathematical Society[DOI]
34. Akihiko Miyachi, "Calderon-Vaillancourt--type theorem for bilinear operators", Indiana University Mathematics Journal, 62(4), pp.1165~1201 (2013), Indiana University Mathematics Journal[DOI]
35. A. Miyachi, "Bilinear pseudo-differential operators with exotic symbols", arXiv:1801.06744v1, ~
36. B. Muckenhoupt, "Functional analysis and approximation", pp.219~231 (1980), Birkhauser
37. Virginia Naibo, "On the L∞ × L∞ → BMO mapping property for certain bilinear pseudodi erential operators", Proceedings of the American Mathematical Society, 143(12), pp.5323~5336 (2015), American Mathematical Society (AMS)[DOI]
38. Salvador Rodríguez-López, "Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators", Journal of Functional Analysis, 264(10), pp.2356~2385 (2013), Elsevier BV[DOI]
39. Eric Sawyer, "Norm inequalities relating singular integrals and the maximal function", Studia Mathematica, 75(3), pp.253~263 (1982), Institute of Mathematics, Polish Academy of Sciences[DOI]
40. Carlos Segovia, "Higher Order Commutators for Vector-Valued Calderon-Zygmund Operators", Transactions of the American Mathematical Society, 336(2), pp.537~556 (1993), JSTOR[DOI]
41. E. M. Stein, "Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals" (1993), Princeton University Press
42. Lin Tang, "Weighted norm inequalities for pseudo-differential operators with smooth symbols and their commutators", Journal of Functional Analysis, 262(4), pp.1603~1629 (2012), Elsevier BV[DOI]
43. R. H. Torres, "On compactness of commutators of multiplication and bilinear pseudodifferential operatos and a new subspace of BMO", Rev. Mat. Iberoam
44. K. Yabuta, "Sharp maximal function andC p condition", Archiv der Mathematik, 55(2), pp.151~155 (1990), Springer Science and Business Media LLC[DOI]
45. Jie YANG, "Endpoint estimates for the commutator of pseudo-differential operators", Acta Mathematica Scientia, 34(2), pp.387~393 (2014), Elsevier BV[DOI]

관련 논문AI추천