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Functional properties of rearrangement invariant spaces defined in terms of oscillations |
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| Authors: | María J Carro Amiran Gogatishvili Joaquim Martín Luboš Pick |
| Institution: | a Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Barcelona, Spain b Mathematical Institute, Czech Academy of Sciences, 115 67 Praha 1, Czech Republic c Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C. 08193 Bellaterra, Barcelona, Spain d Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis, Sokolovská 83, 186 75 Praha 8, Czech Republic |
| Abstract: | Function spaces whose definition involves the quantity f**-f*, which measures the oscillation of f*, have recently attracted plenty of interest and proved to have many applications in various, quite diverse fields. Primary role is played by the spaces Sp(w), with 0<p<∞ and w a weight function on (0,∞), defined as the set of Lebesgue-measurable functions on R such that f*(∞)=0 and |
| Keywords: | 46B42 46E30 |
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