Forschungsgruppe "Funktionenräume"

Publikationen
Auswahl aktueller Veröffentlichungen unserer Gruppe

1999

1. H. BOCHE : Untersuchungen zur abgeschnittenen Hilbert-Transformation von BMO-Funktionen und VMO-Funktionen. Bull. Belg. Math. Soc., 6 (3), 1999.



2. G. BOURDAUD, W. SICKEL : Changes of variable in Besov spaces. Math. Nachr., 198, 19-39, 1999.   [ MSC ...]



3. D.E. EDMUNDS, D. HAROSKE : Spaces of Lipschitz type, embeddings and entropy numbers. Dissertationes Math., Vol. 380, 1-43, 1999.   [M SC ...]



4. D.E. EDMUNDS, H. TRIEBEL : Sharp Sobolev embeddings and related Hardy inequalities : The critical case. Math. Nachr., 207, 79-92, 1999.   [ MSC ...]



5. D.E. EDMUNDS, H. TRIEBEL : Eigenfrequencies of isotropic fractal drums. Oper. Theory Adv. Appl., 110, 81-102, 1999.   [ MSC ...]



6. W. FARKAS : The Behaviour of the Eigenvalues for a Class of Operators Related to some Self-Affine Fractals in R². Z. Anal. Anwendungen, 18 (4), 875-893, 1999.



7. W. FARKAS, H. TRIEBEL : The distribution of eigenfrequencies of anisotropic fractal drums. J. London Math. Soc., 60 (2), 224-236, 1999.   [ MSC ...]



8. V. FONF, V. SHEVCHYK : On decompositions of Banach spaces into a sum of operator ranges. Studia Math., 132 (1), 91-100, 1999.   [ MSC ...]



9. M. KRBEC, TH. SCHOTT : Superposition of imbeddings and Fefferman's inequality. Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2, No.3, 629-637, 1999.   [M SC ...]



10. H.G. LEOPOLD : Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration. Czechoslovak Math. J., 49(124), 633-644, 1999.   [ MSC ...]



11. A. PLICHKO, V. SHEVCHYK : On restriction properties of multiplication operators. Z. Anal. Anwendungen, 18 (1), 27-35, 1999.   [ MSC ...]



12. TH. RUNST : On the existence of solutions of nonlinear boundary value problems at resonance in Sobolev spaces of fractional order. Hiroshima Math. J., 29, 313-325, 1999.   [ MSC ...]



13. TH. RUNST : A unified approach to solvability conditions for nonlinear second order elliptic equations at resonance. Bull. London Math. Soc., 31 (4), 385-414, 1999.   [ MSC ...]



14. TH. RUNST : Degenerate boundary value problems for elliptic operators in Sobolev spaces of fractional order. Vestnik RUDN, Math., 6 (1), 173-181, 1999.   [ MSC ...]



15. TH. RUNST, Y. IL'YASOV : On equations of the type Au=g(x,u,Du) with degenerate and nonlinear boundary condition. Tsukuba J. Math., 23(3), 505-528, 1999.   [M SC ...]



16. V.S. RYCHKOV : On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains. J. London Math. Soc., 60 (1), 237-257, 1999.



17. V.S. RYCHKOV : On a theorem of Bui, Paluszynski, and Taibleson. Trudy Mat. Inst. Steklov, 227, 286-298, 1999 (Russian); English transl. : Proc. Steklov Inst. Math., 227, 280-292, 1999.



18. TH. SCHOTT : Pseudodifferential operators in function spaces with exponential weights. Math. Nachr., 200, 119-149, 1999.   [ MSC ...]



19. V. SHEVCHIK : Spectral properties of some semi-elliptic operators in L_p spaces. Math. Nachr., 202, 151-162, 1999.   [ MSC ...]



20. V. SHEVCHIK : Remarks on L_p - mapping properties of a model semi-elliptic differential operator. Proc. A. Razmadze Math. Inst., 121, 125-134, 1999.  [ MSC ...]



21. W. SICKEL : Pointwise multipliers of Lizorkin-Triebel spaces. Oper. Theory Adv. Appl., 110, 295-321, 1999.   [ MSC ...]



22. W. SICKEL : On pointwise multipliers for F^s_p,q(Rⁿ) in case $\sigma$_p,q < s < n/p. Ann. Mat. Pura Appl., 176, 209-250, 1999.   [ MSC ..., Manuskript: pdf]



23. W. SICKEL, F. SPRENGEL : Interpolation on sparse grids and tensor products of Nikol'skij-Besov spaces. J. Comput. Anal. Appl., 1 (3), 261-286, 1999.   [ MSC]



24. W. SICKEL, F. SPRENGEL : Some error estimates for periodic interpolation of functions from Besov spaces. In W. Haußmann, K. Jetter, and M. Reimer, editors, Advances in Multivariate Approximation, Mathematical Research 107, 269-288, Wiley-VCH, Berlin, 1999.   [ MSC]



25. W. SICKEL, A. YOUSSFI : The characterisation of the regularity of the Jacobian determinant in the framework of potential spaces. J. London Math. Soc., 59 (2), 287-310, 1999.   [ MSC]



26. W. SICKEL, A. YOUSSFI : The Characterization of the Regularity of the Jacobian Determinant in the framework of Bessel Potential Spaces on Domains. J. London Math. Soc. , 60 (2), 561-580, 1999.   [ MSC ]



27. H. TRIEBEL : Decompositions of function spaces. Progr. Nonlinear Differential Equations Appl., 35, 691-730, 1999.   [ MSC ...]



28. H. TRIEBEL : Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds. Studia Math., 134 (2), 179-202, 1999.   [ MSC ...]



29. H. TRIEBEL : Hardy inequalities in function spaces. Math. Bohem., 124 (2-3), 123-130, 1999.   [ MSC ...]



30. H. TRIEBEL : Sharp Sobolev embeddings and related Hardy inequalities : The sub-critical case. Math. Nachr., 208, 167-178, 1999.   [ MSC ...]



31. H. TRIEBEL : Quarks, fractals, non-linearities, and related elliptic operators. Proc. Conf. 'Nonlinear analysis, function spaces and applications VI', Prague, 1998; 200-222, Math. Inst. Czech Acad. Sci., Prague, 1999.   [ MSC ...]

Preprints

1. M. BRICCHI : On some properties of $(d,\Psi)$-sets and related Besov Spaces. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/31, 54 Seiten, Universität Jena, Germany, 1999.   [ MSC ...]



2. W. FARKAS, J. JOHNSEN, W. SICKEL : Traces of anisotropic Besov-Lizorkin-Triebel spaces - a complete treatment of the borderline cases. Reports of the Department of Mathematical Sciences, R-99-2003, Aalborg, 1999.   [ MSC ...]



3. Y. IL'YASOV, TH. RUNST : Existence and multiplicity results for a class of non-linear Neumann boundary value problems. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/14, 23 Seiten, Universität Jena, Germany, 1999.   [M SC ...]



4. V. SHEVCHYK : On properties of a model semi-elliptic differential operator. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/08, 20 Seiten, Universität Jena, Germany, 1999.   [ MSC ...]



5. W. SICKEL : Tensor Products of Periodic Besov Spaces. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/04, 21 Seiten, Universität Jena, Germany, 1999.   [ MSC ...]



6. W. SICKEL, I. SMIRNOV : Localization properties of Besov spaces and of its associated multiplier spaces. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/21, 25 Seiten, Universität Jena, Germany, 1999.   [ MSC ...]