| Title:
|
On the spectrum of multipliers in Bessel potential spaces (English) |
| Author:
|
Shaposhnikova, Tatjana Olegovna |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
110 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
197-206 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0578.46022 |
| idMR:
|
MR796570 |
| DOI:
|
10.21136/CPM.1985.108588 |
| . |
| Date available:
|
2009-09-23T09:31:26Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108588 |
| . |
| Reference:
|
[1] A. Kufner O. John S. Fučík: Function spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[2] V. G. Maz'ya T. O. Shaposhnikova: Multipliers in pairs of potential spaces.Math. Nachr. 99 (1981), 363-379. MR 0637671 |
| Reference:
|
[3] V. G. Maz'ya T. O. Shaposhnikova: On multipliers in Sobolev spaces.(Russian). Vestnik Leningrad. Univ. 7 (1979), 33-40. MR 0546140 |
| Reference:
|
[4] R. S. Strichartz: Multipliers on fractional Sobolev spaces.J. Math, and Mech. 16 (1967), 1031-1060. Zbl 0145.38301, MR 0215084 |
| Reference:
|
[5] A. Devinatz I. I. Hirschman: Multiplier transformations on $l^{2,\alpha}$.Annals of Math. 69 (1959), 575-587. MR 0104974 |
| Reference:
|
[6] V. G. Maz'ya V. P. Havin: Non-linear potential theory.(Russian). Uspehi Matem. Nauk 27 (1972), 67-138. |
| Reference:
|
[7] N. G. Meyers: A theory of capacities for potentials of functions in Lebesgue classes.Math. Scand. 26 (1970), 255-292. Zbl 0242.31006, MR 0277741 |
| Reference:
|
[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. MR 0316896 |
| Reference:
|
[9] D. R. Adams J. C. Polking: The equivalence of two definitions of capacity.Proc. Amer. Math. Soc. 37 (1973), 529-534. MR 0328109 |
| Reference:
|
[10] L. I. Hedberg: Approximation in the mean by solutions of elliptic equations.Duke Math. Journ. 40 (1973), 9-16. Zbl 0283.35035, MR 0312071 |
| Reference:
|
[11] J. C. Polking: Approximation in LP by solutions of elliptic partial differential equations.Amer. Math. Journ. 94 (1972), 1231-1244. MR 0324215 |
| Reference:
|
[12] L. Ahlfors A. Beurling: Conformal invariants and function-theoretic null-sets.Acta Math. 83 (1950), 101-129. MR 0036841 |
| . |
