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:

[24.] with Bartlomiej Dyda and Antti Vähäkangas:
Fractional Hardy-Sobolev type inequalities for half spaces and John domains,
preprint (2017), 8pp. preprint , arXiv

[23.] with Juha Kinnunen, Antti Vähäkangas and Xiao Zhong:
Maximal function estimates and self-improvement results for Poincare inequalities,
preprint (2017), 21pp. preprint , arXiv

[22.] with Bartlomiej Dyda, Lizaveta Ihnatsyeva, Heli Tuominen, and Antti Vähäkangas:
Muckenhoupt A_p-properties of distance functions and applications to Hardy-Sobolev -type inequalities,
preprint (2017), 20pp. preprint , arXiv

[21.] with Antti Käenmäki:
Measures with predetermined regularity and inhomogeneous self-similar sets,
Ark. Mat. 55 (2017), no. 1, 165-184. online , preprint , arXiv

Published:

[20.] with Heli Tuominen and Antti Vähäkangas:
Self-improvement of uniform fatness revisited,
Math. Ann. 368 (2017), no. 3-4, 1439-1464. online , preprint , arXiv

[19.] with Anders Björn and Jana Björn:
The annular decay property and capacity estimates for thin annuli,
Collect. Math. 68 (2017), no. 2, 229-241. online , preprint , arXiv

[18.] with Anders Björn and Jana Björn:
Sharp capacity estimates for annuli in weighted R^n and in metric spaces,
Math. Z. 286 (2017), no. 3-4, 1173-1215. online , preprint , arXiv

[17.] Hardy inequalities and Assouad dimensions,
J. Anal. Math. 131 (2017), no. 1, 367-398. online , preprint , arXiv

[16.] with Antti Vähäkangas:
In between the inequalities of Sobolev and Hardy,
J. Funct. Anal. 271 (2016), no. 2, 330-364. online , preprint , arXiv

[15.] with Derek W. Robinson:
Uniqueness of diffusion on domains with rough boundaries,
Nonlinear Anal. 131 (2016), 60-80. online , preprint , arXiv

[14.] with Lizaveta Ihnatsyeva, Heli Tuominen, and Antti Vähäkangas:
Fractional Hardy inequalities and visibility of the boundary,
Studia Math. 224 (2014), no. 1, 47-80. online , preprint , arXiv

[13.] with Nageswari Shanmugalingam:
Quasiadditivity of variational capacity,
Potential Anal. 40 (2014), no. 3, 247-265. online , preprint , arXiv

[12.] Weighted Hardy inequalities beyond Lipschitz domains,
Proc. Amer. Math. Soc. 142 (2014), no. 5, 1705-1715. online , preprint , arXiv

[11.] with Antti Käenmäki and Matti Vuorinen:
Dimensions, Whitney covers, and tubular neighborhoods,
Indiana Univ. Math. J. 62 (2013), no. 6, 1861-1889. online , preprint , arXiv

[10.] with Toni Heikkinen, Juho Nuutinen and Heli Tuominen:
Fractional maximal functions in metric measure spaces,
Anal. Geom. Metr. Spaces 1 (2013), 147-162. online , preprint , arXiv

[9.] with Heli Tuominen:
A note on the dimensions of Assouad and Aikawa,
J. Math. Soc. Japan 65 (2013), no. 2, 343-356. online , preprint

[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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