A van der Corput type lemma for oscillatory integrals with Holder amplitudes and its applications

키워드

참고문헌 (25)

1. Hussain Al-Qassem, "Oscillatory Singular Integral Operators with Hölder Class Kernels", Journal of Fourier Analysis and Applications, 25(4), pp.2141~2149 (2019), Springer Science and Business Media LLC[DOI]
2. H. Al-Qassem, "Endpoint estimates for oscillatory singular integrals with H¨older class kernels", J. Funct. Spaces, 2019, pp.7~ (2019)[DOI]
3. Lennart Carleson, "Oscillatory integrals and multiplier problem for the disc", Studia Mathematica, 44(3), pp.287~299 (1972), Institute of Mathematics, Polish Academy of Sciences[DOI]
4. Sagun Chanillo, "Weak (1,1) bounds for oscillatory singular integrals", Duke Mathematical Journal, 55(1), pp.141~155 (1987), Duke University Press[DOI]
5. 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]
6. E. T. Copson, "Asymptotic expansions, reprint of the 1965 original" (2004), Cambridge University Press
7. J. G. van der Corput, "Zahlentheoretische Abschätzungen", Mathematische Annalen, 84(1-2), pp.53~79 (1921), Springer Science and Business Media LLC[DOI]
8. O. Costin, "Asymptotics and Borel Summability", pp.2008, Chapman and Hall
9. A. Erd´elyi, "Asymptotic Expansions" (1956), Dover Publications, Inc
10. L. Grafakos, "Classical and Modern Fourier Analysis" (2004), Pearson Education, Inc
11. Edmund Hlawka, "Uber Integrale auf konvexen Korpern. I", Monatsh. Math, 54(1), pp.1~36 (1950), Springer Science and Business Media LLC[DOI]
12. Lars Hörmander, "Oscillatory integrals and multipliers on FLp", Arkiv för Matematik, 11(1-2), pp.1~11 (1973), International Press of Boston[DOI]
13. L. Hormander, "The Analysis of Linear Partial Differential Operators I" (1983), Springer-Verlag
14. Walter Littman, "Fourier transforms of surface-carried measures and differentiability of surface averages", Bulletin of the American Mathematical Society, 69(6), pp.766~771 (1963), American Mathematical Society (AMS)[DOI]
15. Y. Pan, "Hardy spaces and oscillatory singular integrals", Rev. Mat. Iberoamericana, 7(1), pp.55~64 (1991)[DOI]
16. Yibiao Pan, "Boundedness of oscillatory singular integrals on Hardy spaces: II", Indiana University Mathematics Journal, 41(1), pp.279~ (1992), Indiana University Mathematics Journal[DOI]
17. D. H. Phong, "Hilbert integrals, singular integrals, and Radon transforms I", Acta Mathematica, 157(0), pp.99~157 (1986), International Press of Boston[DOI]
18. D. H. Phong, "Operator versions of the van der corput lemma and fourier integral operators", Mathematical Research Letters, 1(1), pp.27~33 (1994), International Press of Boston[DOI]
19. Fulvio Ricci, "Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals", Journal of Functional Analysis, 73(1), pp.179~194 (1987), Elsevier BV[DOI]
20. Christopher D. Sogge, "Averages of functions over hypersurfaces in Rn", Inventiones Mathematicae, 82(3), pp.543~556 (1985), Springer Science and Business Media LLC[DOI]
21. Elias M. Stein, "Interpolation of Linear Operators", Transactions of the American Mathematical Society, 83(2), pp.482~ (1956), JSTOR[DOI]
22. E. M. Stein, "Beijing lectures in harmonic analysis" (1986), Princeton Univ. Press
23. E. M. Stein, "Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals" (1993), Princeton Univ. Press
24. A. N. Varchenko, "Newton polyhedra and estimation of oscillating integrals", Func. Anal. Appl, 10, pp.175~196 (1976)
25. V. V. Yurinskii, "On application of the van der Corput lemma to the estimation of the characteristic functions of certain singular distributions", Theory of Prob. & Appl, 16, pp.387~388 (1971)

관련 논문AI추천