- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:54
Zeitschrift für Analysis und ihre Anwendungen
Z. Anal. Anwend.
ZAA
0232-2064
1661-4534
Partial differential equations
Ordinary differential equations
Integral equations
Numerical analysis
10.4171/ZAA
http://www.ems-ph.org/doi/10.4171/ZAA
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2006)
27
2008
1
Growth Envelopes of Anisotropic Function Spaces
Susana
Moura
Universidade de Coimbra, COIMBRA, PORTUGAL
Júlio
Neves
Universidade de Coimbra, COIMBRA, PORTUGAL
Mariusz
Piotrowski
Universität Wien, WIEN, AUSTRIA
Anisotropic function spaces, growth envelopes, Hardy inequalities
The present paper is devoted to the study of growth envelopes of aniso\-tro\-pic function spaces. An affirmative answer is given to the question of H.~Triebel [Wavelet bases in anisotropic function spaces. In: {\em Function Spaces, Differential Operators and Nonlinear Analysis} (FSDONA-04). Praha: Math. Inst. Acad. Czech Rep. 2005, pp.~370 -- 387; Conjecture~13], whether the growth envelopes are independent of anisotropy. As an application, related anisotropic Hardy inequalities are presented and we also discuss a connection to some anisotropic fractal sets.
Partial differential equations
Ordinary differential equations
Integral equations
Numerical analysis
95
118
10.4171/ZAA/1346
http://www.ems-ph.org/doi/10.4171/ZAA/1346