On the spectrum of multipliers in Bessel potential spaces

Tatjana Olegovna Shaposhnikova

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 2, page 197-206
  • ISSN: 0528-2195

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Shaposhnikova, Tatjana Olegovna. "On the spectrum of multipliers in Bessel potential spaces." Časopis pro pěstování matematiky 110.2 (1985): 197-206. <http://eudml.org/doc/19418>.

@article{Shaposhnikova1985,
author = {Shaposhnikova, Tatjana Olegovna},
journal = {Časopis pro pěstování matematiky},
keywords = {spectrum; multiplier in a function space; Bessel potential space; capacity; spectra of a convolution operator in a weighted -space},
language = {eng},
number = {2},
pages = {197-206},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the spectrum of multipliers in Bessel potential spaces},
url = {http://eudml.org/doc/19418},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Shaposhnikova, Tatjana Olegovna
TI - On the spectrum of multipliers in Bessel potential spaces
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 2
SP - 197
EP - 206
LA - eng
KW - spectrum; multiplier in a function space; Bessel potential space; capacity; spectra of a convolution operator in a weighted -space
UR - http://eudml.org/doc/19418
ER -

References

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  1. A. Kufner O. John S. Fučík, Function spaces, Academia, Prague, 1977. (1977) MR0482102
  2. V. G. Maz'ya T. O. Shaposhnikova, Multipliers in pairs of potential spaces, Math. Nachr. 99 (1981), 363-379. (1981) MR0637671
  3. V. G. Maz'ya T. O. Shaposhnikova, On multipliers in Sobolev spaces, (Russian). Vestnik Leningrad. Univ. 7 (1979), 33-40. (1979) MR0546140
  4. R. S. Strichartz, Multipliers on fractional Sobolev spaces, J. Math, and Mech. 16 (1967), 1031-1060. (1967) Zbl0145.38301MR0215084
  5. A. Devinatz I. I. Hirschman, Multiplier transformations on l 2 , α , Annals of Math. 69 (1959), 575-587. (1959) MR0104974
  6. V. G. Maz'ya V. P. Havin, Non-linear potential theory, (Russian). Uspehi Matem. Nauk 27 (1972), 67-138. (1972) 
  7. N. G. Meyers, A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand. 26 (1970), 255-292. (1970) Zbl0242.31006MR0277741
  8. V. G. Maz'ya, On removable singularities of bounded solutions of quasilinear elliptic equations of arbitrary order, (Russian). Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 26 (1972), 116-130. (1972) MR0316896
  9. D. R. Adams J. C. Polking, The equivalence of two definitions of capacity, Proc. Amer. Math. Soc. 37 (1973), 529-534. (1973) MR0328109
  10. L. I. Hedberg, Approximation in the mean by solutions of elliptic equations, Duke Math. Journ. 40 (1973), 9-16. (1973) Zbl0283.35035MR0312071
  11. J. C. Polking, Approximation in LP by solutions of elliptic partial differential equations, Amer. Math. Journ. 94 (1972), 1231-1244. (1972) MR0324215
  12. L. Ahlfors A. Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101-129. (1950) MR0036841

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