First order interpolation inequalities with weights

L. Caffarelli; R. Kohn; L. Nirenberg

Compositio Mathematica (1984)

  • Volume: 53, Issue: 3, page 259-275
  • ISSN: 0010-437X

How to cite


Caffarelli, L., Kohn, R., and Nirenberg, L.. "First order interpolation inequalities with weights." Compositio Mathematica 53.3 (1984): 259-275. <>.

author = {Caffarelli, L., Kohn, R., Nirenberg, L.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {259-275},
publisher = {Martinus Nijhoff Publishers},
title = {First order interpolation inequalities with weights},
url = {},
volume = {53},
year = {1984},

AU - Caffarelli, L.
AU - Kohn, R.
AU - Nirenberg, L.
TI - First order interpolation inequalities with weights
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 53
IS - 3
SP - 259
EP - 275
LA - eng
UR -
ER -


  1. [1] J. Scott Bradley: Hardy inequalities with mixed norms. Canad. Math Bull21 (1978) 405-408. Zbl0402.26006MR523580
  2. [2] L. Caffarelli, R. Kohn and L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math, 35 (1982) 771-831. Zbl0509.35067MR673830
  3. [3] E. Gagliardo: Ulteriori proprietà di alcune classi di funzioni in più variabili. Ricerche di Mat. Napoli8 (1959) 24-51. Zbl0199.44701MR109295
  4. [4] G.H. Hardy, J.E. Littlewood and G. Polya: Inequalities. Cambridge: Cambridge University Press (1952). MR46395JFM60.0169.01
  5. [5] C.S. Lin: Interpolation inequalities with weighted norms, to appear. 
  6. [6] B. Muckenhoupt: Hardy's inequality with weights. Studia Math.34 (1972) 31-38. Zbl0236.26015MR311856
  7. [7] B. Muckenhoupt and R. Wheeden: Weighted norm inequalities for fractional integrals. Trans. Amer. Math. Soc.192 (1974) 261-274. Zbl0289.26010MR340523
  8. [8] L. Nirenberg: On elliptic partial differential equations. Ann. di Pisa9 (1959) 115-162. Zbl0088.07601MR109940

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