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BILINEAR MULTIPLIERS OF FUNCTION SPACES WITH WAVELET TRANSFORM IN Lpω (Rn)

OZNUR KULAK
장전수학회 (Jangjeon Mathematical Society)|2017.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제1호|pp. 81-94|DOI 10.17777/pjms.2017.20.1.010

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참고문헌

키워드

bilinear multipliersfunction spaceswavelet transform
주제분류수학

초록

Bilinear multipliers of function spaces with wavelet transform in L^p_omega(R^n)

Abstract

Bilinear multipliers of function spaces with wavelet transform in L^p_omega(R^n)

참고문헌 (19)

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  3. O. Blasco, "Notes on the spaces of bilinear multipliers", Rev. Un. Mat. Argentina, 50(2), pp.23~37 (2009)
  4. R. R. Coifman, "Commutateurs d'integrales singulieres et operateurs multilineaires", Ann. Inst. Fourier (Grenoble), 28(3), pp.177~202 (1978)
  5. I. Daubechies, "Ten Lectures on Wavelets" (1992), CBMS-NSF, SIAM
  6. C. Gasquet, "Fourier Analysis and Applications" (1999), Springer
  7. J. Gilbert, "Boundedness of bilinear operators with non-smooth symbols", Math. Res. Lett, 7, pp.767~778 (2000)
  8. J. Gilbert, "Bilinear operators with non-smooths", J. Fourier Anal. Appl., 7, pp.437~469 (2001)
  9. L. Grafakos, "Some remarks on multilinear maps and interpolation", Math. Annalen, 319, pp.151~180 (2001)
  10. C. E. Kening, "Multilinear estimates and fractional integration", Math. Res. Ltt, 6, pp.1~15 (1999)
  11. O. Kulak, "On function spaces with wavelet transform in L pω(Rd × R+)", Hacettepe Journal of Mathematics and Statistics, 40(2), pp.163~177 (2011)
  12. O. Kulak, "Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces", Journal of Inequalities and Applications, 259(2013), pp.1~21 (2013)
  13. O. Kulak, "Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces", Journal of Inequalities and Applications, 476(2014), pp.1~23 (2014)
  14. M. T. Lacey, "Lp estimates on the bilinear Hilbert transform for 2 <p < 1", Ann. of Math., 146(2), pp.693~724 (1997)
  15. M. T. Lacey, "On the bilinear Hilbert transform", Doc. Math, 2(Extra), pp.647~656 (1998)
  16. M. T. Lacey, "On Calderon's conjecture", Ann. Math., 149(2), pp.475~496 (1999)
  17. Ondelettes et Operateurs. III. Operateurs Multilineaires, "Y. Meyer", Actualites Mathematiques, ~ (1991)
  18. W. Rudin, "Fourier Analysis on Groups" (1962), Interscience
  19. A. Theolis, "Computational Signal Processing withWavelet" (1998), Birkhauser

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