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Volumn 248, Issue 1, 2007, Pages 79-106

The dilation property of modulation spaces and their inclusion relation with Besov spaces

Author keywords

Besov spaces; Dilation; Inclusion; Modulation spaces

Indexed keywords


EID: 34248589058     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2007.03.015     Document Type: Article
Times cited : (132)

References (22)
  • 1
    • 0031286854 scopus 로고    scopus 로고
    • Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators
    • Boulkhemair A. Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators. Math. Res. Lett. 4 (1997) 53-67
    • (1997) Math. Res. Lett. , vol.4 , pp. 53-67
    • Boulkhemair, A.1
  • 2
    • 0003260933 scopus 로고    scopus 로고
    • Spectral Asymptotics in the Semi-Classical Limit
    • Cambridge Univ. Press, Cambridge
    • Dimassi M., and Sjöstrand J. Spectral Asymptotics in the Semi-Classical Limit. London Math. Soc. Lecture Note Ser. vol. 268 (1999), Cambridge Univ. Press, Cambridge
    • (1999) London Math. Soc. Lecture Note Ser. , vol.268
    • Dimassi, M.1    Sjöstrand, J.2
  • 3
    • 0041191884 scopus 로고
    • Banach spaces of distributions of Wiener's type and interpolation
    • Proc. Conf. Oberwolfach, Functional Analysis and Approximation, August 1980. Butzer P., Nagy B.Sz., and Görlich E. (Eds), Birkhäuser, Basel
    • Feichtinger H.G. Banach spaces of distributions of Wiener's type and interpolation. In: Butzer P., Nagy B.Sz., and Görlich E. (Eds). Proc. Conf. Oberwolfach, Functional Analysis and Approximation, August 1980. Int. Ser. Num. Math. vol. 60 (1981), Birkhäuser, Basel 153-165
    • (1981) Int. Ser. Num. Math. , vol.60 , pp. 153-165
    • Feichtinger, H.G.1
  • 4
    • 0004187271 scopus 로고    scopus 로고
    • Modulation spaces on locally compact abelian groups
    • Krishna M., Radha R., and Thangavelu S. (Eds), Chennai, India, Allied Publ., New Delhi updated version of a technical report, University of Vienna, 1983
    • Feichtinger H.G. Modulation spaces on locally compact abelian groups. In: Krishna M., Radha R., and Thangavelu S. (Eds). Wavelets and Their Applications (2003), Chennai, India, Allied Publ., New Delhi 99-140 updated version of a technical report, University of Vienna, 1983
    • (2003) Wavelets and Their Applications , pp. 99-140
    • Feichtinger, H.G.1
  • 6
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, I
    • Feichtinger H.G., and Gröchenig K. Banach spaces related to integrable group representations and their atomic decompositions, I. J. Funct. Anal. 86 (1989) 307-340
    • (1989) J. Funct. Anal. , vol.86 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 11
    • 33646585834 scopus 로고    scopus 로고
    • Time-frequency analysis of Sjöstrand's class
    • Gröchenig K. Time-frequency analysis of Sjöstrand's class. Rev. Mat. Iberoamericana 22 (2006) 703-724
    • (2006) Rev. Mat. Iberoamericana , vol.22 , pp. 703-724
    • Gröchenig, K.1
  • 12
  • 13
    • 9744277635 scopus 로고    scopus 로고
    • Modulation spaces as symbol classes for pseudodifferential operators
    • Krishna M., Radha R., and Thangavelu S. (Eds), Allied Publ., New Delhi
    • Gröchenig K., and Heil C. Modulation spaces as symbol classes for pseudodifferential operators. In: Krishna M., Radha R., and Thangavelu S. (Eds). Wavelets and Their Applications, Chennai, India (2003), Allied Publ., New Delhi 151-170
    • (2003) Wavelets and Their Applications, Chennai, India , pp. 151-170
    • Gröchenig, K.1    Heil, C.2
  • 14
    • 2442713801 scopus 로고    scopus 로고
    • Embedding of some classical Banach spaces into modulation spaces
    • Okoudjou K. Embedding of some classical Banach spaces into modulation spaces. Proc. Amer. Math. Soc. 132 (2004) 1639-1647
    • (2004) Proc. Amer. Math. Soc. , vol.132 , pp. 1639-1647
    • Okoudjou, K.1
  • 15
    • 0010962943 scopus 로고
    • An algebra of pseudodifferential operators
    • Sjöstrand J. An algebra of pseudodifferential operators. Math. Res. Lett. 1 (1994) 185-192
    • (1994) Math. Res. Lett. , vol.1 , pp. 185-192
    • Sjöstrand, J.1
  • 16
    • 34248504575 scopus 로고
    • Pseudo-differential operators on Besov spaces
    • Sugimoto M. Pseudo-differential operators on Besov spaces. Tsukuba J. Math. 12 (1988) 43-63
    • (1988) Tsukuba J. Math. , vol.12 , pp. 43-63
    • Sugimoto, M.1
  • 18
    • 1242294479 scopus 로고    scopus 로고
    • Continuity properties for modulation spaces, with applications to pseudo-differential calculus, I
    • Toft J. Continuity properties for modulation spaces, with applications to pseudo-differential calculus, I. J. Funct. Anal. 207 (2004) 399-429
    • (2004) J. Funct. Anal. , vol.207 , pp. 399-429
    • Toft, J.1
  • 19
    • 9744250977 scopus 로고    scopus 로고
    • Continuity properties for modulation spaces, with applications to pseudo-differential calculus, II
    • Toft J. Continuity properties for modulation spaces, with applications to pseudo-differential calculus, II. Ann. Global Anal. Geom. 26 (2004) 73-106
    • (2004) Ann. Global Anal. Geom. , vol.26 , pp. 73-106
    • Toft, J.1
  • 20
    • 33646503155 scopus 로고    scopus 로고
    • Convolution and embeddings for weighted modulation spaces
    • Advances in Pseudo-Differential Operators. Ashino R., Boggiatto P., and Wong M.W. (Eds), Birkhäuser, Basel
    • Toft J. Convolution and embeddings for weighted modulation spaces. In: Ashino R., Boggiatto P., and Wong M.W. (Eds). Advances in Pseudo-Differential Operators. Oper. Theory Adv. Appl. vol. 155 (2004), Birkhäuser, Basel 165-186
    • (2004) Oper. Theory Adv. Appl. , vol.155 , pp. 165-186
    • Toft, J.1
  • 21
    • 0000456831 scopus 로고
    • Modulation spaces on the Euclidean n-spaces
    • Triebel H. Modulation spaces on the Euclidean n-spaces. Z. Anal. Anwendungen 2 (1983) 443-457
    • (1983) Z. Anal. Anwendungen , vol.2 , pp. 443-457
    • Triebel, H.1
  • 22
    • 34248527636 scopus 로고    scopus 로고
    • B. Wang, C. Huang, Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations, preprint


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