Coercive inequalities on weighted Sobolev spaces

Agnieszka Kałamajska

Colloquium Mathematicae (1993)

  • Volume: 66, Issue: 2, page 309-318
  • ISSN: 0010-1354

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Kałamajska, Agnieszka. "Coercive inequalities on weighted Sobolev spaces." Colloquium Mathematicae 66.2 (1993): 309-318. <http://eudml.org/doc/210251>.

@article{Kałamajska1993,
author = {Kałamajska, Agnieszka},
journal = {Colloquium Mathematicae},
keywords = {scalar differential operators; weighted Sobolev spaces; bounded domain with cone property; Muckenhoupt type weights},
language = {eng},
number = {2},
pages = {309-318},
title = {Coercive inequalities on weighted Sobolev spaces},
url = {http://eudml.org/doc/210251},
volume = {66},
year = {1993},
}

TY - JOUR
AU - Kałamajska, Agnieszka
TI - Coercive inequalities on weighted Sobolev spaces
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 2
SP - 309
EP - 318
LA - eng
KW - scalar differential operators; weighted Sobolev spaces; bounded domain with cone property; Muckenhoupt type weights
UR - http://eudml.org/doc/210251
ER -

References

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  4. [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. 
  5. [H] L. Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36 (1972), 505-510. Zbl0283.26003
  6. [Ka] A. Kałamajska, Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces, Studia Math. 108 (1994), 275-290. Zbl0819.46021
  7. [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). 
  8. [Kos] A. I. Koshelev, Regularity of Solutions of Elliptic Equations and Systems, Nauka, Moscow 1986 (in Russian). 
  9. [Ku] A. Kufner, Weighted Sobolev Spaces, Wiley, Chichester, 1985. 
  10. [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). 
  11. [Ma] V. G. Maz'ya, Sobolev Spaces, Springer, 1985. 
  12. [Mi] S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations, Pergamon Press, New York. 1965. 
  13. [O] D. Ornstein, A non-inequality for differential operators in the L 1 norm, Arch. Rational Mech. Anal. 11 (1962), 40-49. Zbl0106.29602
  14. [S] K. T. Smith, Formulas to represent functions by their derivatives, Math. Ann. 188 (1970), 53-77. Zbl0187.03102
  15. [T] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, New York, 1986. Zbl0621.42001
  16. [TJ] H. Torrea y L. Jose, Integrales Singulares Vectoriales, INMABB-Conicet, Univ. Nac. del Sur, Bahia Blanca, 1984. 
  17. [V] T. Valent, Boundary Value Problems of Finite Elasticity. Local Theorems on Existence, Uniqueness and Analytic Dependence on Data, Springer, 1988. Zbl0648.73019

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