On decompositions in generalised Lorentz-Zygmund spaces

J. S. Neves

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 1, page 239-267
  • ISSN: 0392-4041

How to cite

top

Neves, J. S.. "On decompositions in generalised Lorentz-Zygmund spaces." Bollettino dell'Unione Matematica Italiana 4-B.1 (2001): 239-267. <http://eudml.org/doc/194564>.

@article{Neves2001,
author = {Neves, J. S.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {239-267},
publisher = {Unione Matematica Italiana},
title = {On decompositions in generalised Lorentz-Zygmund spaces},
url = {http://eudml.org/doc/194564},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Neves, J. S.
TI - On decompositions in generalised Lorentz-Zygmund spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/2//
PB - Unione Matematica Italiana
VL - 4-B
IS - 1
SP - 239
EP - 267
LA - eng
UR - http://eudml.org/doc/194564
ER -

References

top
  1. ADAMS, R. A., Sobolev Spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
  2. BENNETT, C.- RUDNICK, K., On Lorentz-Zygmund spaces, Dissertationes Math. (Rozprawy Mat.), 175 (1980), 1-72. Zbl0456.46028MR576995
  3. BENNETT, C.- SHARPLEY, R., Interpolation of Operators, volume 129 of Pure and Applied Mathematics, Academic Press, New York, 1988. Zbl0647.46057MR928802
  4. EDMUNDS, D. E.- GURKA, P.- OPIC, B., Double exponential integrability of convolution operators in generalised Lorentz-Zygmund spaces, Indiana Univ. Math. J., 44 (1995), 19-43. Zbl0826.47021MR1336431
  5. EDMUNDS, D. E.- GURKA, P.- OPIC, B., On embeddings of logarithmic Bessel potential spaces, J. Funct. Anal., 146 (1997), 116-150. Zbl0934.46036MR1446377
  6. EDMUNDS, D. E.- GURKA, P.- OPIC, B., Norms of embeddings of logarithmic Bessel potential spaces, Proc. Amer. Math. Soc., 126 (8) (1998), 2417-2425. Zbl0895.46020MR1451796
  7. EDMUNDS, D. E.- KRBEC, M., On Decomposition in Exponential Orlicz Spaces, Math. Nachr., 213 (2000), 77-88. Zbl0971.46019MR1755247
  8. EDMUNDS, D. E.- TRIEBEL, H., Function Spaces, Entropy Numbers and Differential Operators, volume 120 of Cambridge Tracts in Mathematics, Cambridge University Press, 1996. Zbl0865.46020MR1410258
  9. FIORENZA, A.- KRBEC, M., On decompositions in L log L α , Preprint n. 129, Academy of Sciences of the Czech Republic, 1998. 
  10. GURKA, P.- OPIC, B., Global limiting embeddings of logarithmic Bessel potential spaces, Math. Inequal. Appl., 1 (1998) 565-584. Zbl0934.46034MR1646690
  11. JAWERTH, B.- MILMAN, M., Extrapolation theory with applications, Mem. Amer. Math. Soc., 89 (440) (1991). Zbl0733.46040MR1046185
  12. KUFNER, A.- JOHN, O.- FUČÍK, S., Function Spaces, Noordhoff International Publishing, Leyden, Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, 1977. Zbl0364.46022MR482102
  13. LORENTZ, G. G., Some new functional spaces, Ann. Math., 1 (1951), 411-429. Zbl0043.11302MR33449
  14. MILMAN, M., Extrapolation and optimal decomposition, volume 1580 of Lecture Notes in Mathematics, Springer Verlag, Berlin, Heidelberg, 1994. Zbl0852.46059MR1301774
  15. RUDIN, W., Real and Complex Analysis, Mcgraw-Hill Book Co., Singapore, 3rd edition, 1986. Zbl0278.26001
  16. STEIN, E. M., Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, New Jersey, 1970. Zbl0207.13501MR290095
  17. TORCHINSKY, A., Real Variable Methods in Harmonic Analysis, volume 123 of Pure and Applied Mathematics, Academic Press, San Diego, 1986. Zbl0621.42001MR869816
  18. TRIEBEL, H., Interpolation Theory, Function Spaces, Differential Operators, volume 18 of North-Holland Mathematical Library. VEB Deutscher Verlag der Wissenschaften, Berlin 1978; North-Holland Publishing Co., 1978. Zbl0387.46032
  19. TRIEBEL, H., Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces, Proc. London Math. Soc. (3), 66 (3) (1993), 589-618. Zbl0792.46024MR1207550
  20. YANO, S., Notes on Fourier analysis (XXIX): An Extrapolation Theorem, J. Math. Soc. Japan, 3 (1951). Zbl0045.17901MR48619
  21. ZIEMER, W. P., Weakly Differentiable Functions, Springer-Verlag, 1989. Zbl0692.46022MR1014685
  22. ZYGMUND, A., Trigonometric Series, volume II, Cambridge University Press, Cambridge, 2nd edition, 1959. Zbl0085.05601MR107776

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.