Coercive inequalities on weighted Sobolev spaces
Kałamajska, Agnieszka
Colloquium Mathematicae, Tome 66 (1993), p. 309-318 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210251
@article{bwmeta1.element.bwnjournal-article-cmv66i2p309bwm,
     author = {Agnieszka Ka\l amajska},
     title = {Coercive inequalities on weighted Sobolev spaces},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {309-318},
     zbl = {0827.46028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv66i2p309bwm}
}
Kałamajska, Agnieszka. Coercive inequalities on weighted Sobolev spaces. Colloquium Mathematicae, Tome 66 (1993) pp. 309-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv66i2p309bwm/

[000] [BIN] O. V. Besov, V. P. Il'in and S. M. Nikol'skiĭ, Integral Representations of Functions and Imbedding Theorems, Nauka, Moscow, 1975 (in Russian).

[001] [B] J. Boman, Supremum norm estimates for partial derivatives of functions of several real variables, Illinois J. Math. 16 (1972), 203-216. | Zbl 0244.46043

[002] [CZ] A. P. Calderón and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289-309. | Zbl 0072.11501

[003] [GK] P. Gurka and A. Kufner, A note on a two-weighted Sobolev inequality, in: Approximation and Function Spaces, Banach Center Publ. 22, PWN-Polish Scientific Publishers, Warszawa, 1989, 169-172.

[004] [H] L. Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36 (1972), 505-510. | Zbl 0283.26003

[005] [Ka] A. Kałamajska, Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces, Studia Math. 108 (1994), 275-290. | Zbl 0819.46021

[006] [KO] V. A. Kondrat'ev and O. A. Oleĭnik, Boundary value problems for systems of elasticity theory in unbounded domains. Korn inequalities, Uspekhi Mat. Nauk 43 (5) (1988), 55-98 (in Russian).

[007] [Kos] A. I. Koshelev, Regularity of Solutions of Elliptic Equations and Systems, Nauka, Moscow 1986 (in Russian).

[008] [Ku] A. Kufner, Weighted Sobolev Spaces, Wiley, Chichester, 1985.

[009] [LO] P. I. Lizorkin and M. Otelbaev, Imbedding and compactness theorems for Sobolev-type spaces with weights, Mat. Sb. 108 (1979), 358-377 (in Russian).

[010] [Ma] V. G. Maz'ya, Sobolev Spaces, Springer, 1985.

[011] [Mi] S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations, Pergamon Press, New York. 1965.

[012] [O] D. Ornstein, A non-inequality for differential operators in the L1 norm, Arch. Rational Mech. Anal. 11 (1962), 40-49. | Zbl 0106.29602

[013] [S] K. T. Smith, Formulas to represent functions by their derivatives, Math. Ann. 188 (1970), 53-77. | Zbl 0187.03102

[014] [T] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, New York, 1986. | Zbl 0621.42001

[015] [TJ] H. Torrea y L. Jose, Integrales Singulares Vectoriales, INMABB-Conicet, Univ. Nac. del Sur, Bahia Blanca, 1984.

[016] [V] T. Valent, Boundary Value Problems of Finite Elasticity. Local Theorems on Existence, Uniqueness and Analytic Dependence on Data, Springer, 1988. | Zbl 0648.73019