作者：Paul F. X. Müller , Peter Yuditskii 来源：[J].Colloquium Mathematicum(IF 0.403), 2019, Vol.158, pp.141-155IMPAS 摘要：The real and complex interpolation spaces for the classical Hardy spaces $H^1$ and $H^\infty$ were determined in 1983 by P. W. Jones. Due to the analytic constraints the associated Marcinkiewicz decomposition gives rise to a delicate approximation problem for the $L^ 1$ metric.Sp...
 作者：Paul F. X. Müller 来源：[J].Studia Mathematica(IF 0.549), 2002, Vol.150, pp.13-16IMPAS 摘要：The proof that $H^1(\delta )$ and $H^1(\delta ^2)$ are not isomorphic is simplified. This is done by giving a new and simple proof to a martingale inequality of J. Bourgain.
 作者：Anna Kamont , Paul F. X. Müller 来源：[J].Studia Mathematica(IF 0.549), 2006, Vol.177, pp.251-275IMPAS 摘要：We prove unconditionality of general Franklin systems in $L^p(X)$, where $X$ is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.
 作者：Stefan Geiss , Paul F. X. Müller , Veronika Pillwein 来源：[J].Studia Mathematica(IF 0.549), 2005, Vol.171, pp.196-205IMPAS 摘要：For an injective map $\tau$ acting on the dyadic subintervals of theunit interval $[0,1)$ we define the rearrangement operator $T_s$,$0< s< 2$, to be the linear extension ofthe map$$\frac{h_I}{|I|^{1/s}} \mapsto\frac{h_{\tau(I)}}{|\tau(I)|^{1/s}},$$where $h_I$ denotes the \$...
 作者：Anna Kamont , Paul F. X. Müller 来源：[J].Bulletin Polish Acad. Sci. Math., 2014, Vol.62, pp.101-115IMPAS 摘要：We study the problem of consistent and homogeneous colourings for increasing families of dyadic intervals. We determine when this problem can be solved and when it cannot.