Certain function spaces related to the metaplectic representation

• Autorzy: Krzysztof Nowak
• Języki publikacji: EN

Słowa kluczowe

EN

Schatten classes; local Toeplitz operators; singular values; mixed norm spaces; convolution-product operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 76
• Numer: 1
• Strony: 143-152

Daty

wydano

1998

otrzymano

1997-03-19

poprawiono

1997-09-18

Twórcy

autor

Krzysztof Nowak

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [Fe] H. G. Feichtinger, Wiener amalgams over Euclidean spaces and some of their applications, in: Lecture Notes in Pure and Appl. Math. 136, K. Jarosz (ed.) Dekker, 1992, 123-137.
• [F] G. B. Folland, Harmonic Analysis in Phase Space, Ann. Math. Stud. 122, Princeton Univ. Press, Princeton, N.J., 1989.
• [HH] J. Hilgert and K. Hofmann, Old and new on SL(2,ℝ), Manuscripta Math. 54 (1985), 17-52.
• [N1] K. Nowak, Singular value estimates for certain convolution-product operators, J. Fourier Anal. Appl. 3 (1995), 297-310.
• [N2] K. Nowak, Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets, Studia Math. 119 (1996), 37-64.
• [R] R. Rochberg, The use of decomposition theorems in the study of operators, in: Wavelets: Mathematics and Applications, J. J. Benedetto and M. Frazier (eds.), CRC Press, 1994, 547-570.
• [S] B. Simon, Trace Ideals and Their Applications, Cambridge Univ. Press, London, 1979.
• [St] E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, 1993.