Publications by Juha Lehrbäck

Notice that the prepints are different from the final published versions.

Click here to see my papers in MathSciNet (requires licence).

Recent:

[10.] Weighted Hardy inequalities beyond Lipschitz domains, 2010, 12 pp. preprint

[9.] with Heli Tuominen:
A note on the dimensions of Assouad and Aikawa, J. Math. Soc. Japan (to appear), preprint

Published:

[8.] Neighbourhood capacities, Ann. Acad. Sci. Fenn. Math. 37 (2012), no. 1, 35-51. online , preprint

[7.] with Riikka Korte and Heli Tuominen:
The equivalence between pointwise Hardy inequalities and uniform fatness, Math. Ann. 351 (2011), no. 3, 711-731. online , preprint , arXiv

[6.] Necessary conditions for weighted pointwise Hardy inequalities, Ann. Acad. Sci. Fenn. Math. 34 (2009), no.2, 437-446. online , preprint

[5.] with Pekka Koskela:
Weighted pointwise Hardy inequalities, J. London Math. Soc. 79 (2009), no. 3, 757-779. online , preprint

[4.] Weighted Hardy inequalities and the size of the boundary, Manuscripta Math. 127 (2008), no. 2, 249-273. online , preprint

[3.] Self-improving properties of weighted Hardy inequalities, Adv. Calc. Var. 1 (2008), no. 2, 193-203. online , preprint

[2.] Pointwise Hardy inequalities and uniformly fat sets, Proc. Amer. Math. Soc. 136 (2008), no. 6, 2193-2200. online , preprint

[1.] with Pekka Koskela:
Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces, Michigan Math. J. 55 (2007), no. 1, 183-193. online

Other:

PhD Thesis:
Weighted Hardy inequalities and the boundary size, Rep. Univ. Jyväskylä Dept. Math. Stat. 116 (2008), 21 pp. (Introductory part)

Pro Gradu (MSc Thesis):
Konformisesta dimensiosta (On conformal dimension), in Finnish, (2003). (postscript)

'Popular' article in Finnish:
Hardyn epäyhtälöitä ennen ja nyt (Hardy's inequalities earlier and at present), Arkhimedes, 4/2009. (preliminary version)

(Un)related stuff:

Insufficient and unnecessary conditions for weighted Hardy inequalities
(this is about O.Hardy in equality, not p-Hardy inequality - drawn by my friend Kalle)

Uniform fatness
(this is about, well, uniform fatness - inked by my friend Tapani)

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