Growth Envelopes of Some Variable and Mixed Function Spaces
@article{Haroske2022GrowthEO, title={Growth Envelopes of Some Variable and Mixed Function Spaces}, author={Dorothee D. Haroske and Cornelia Schneider and Krist{\'o}f Szarvas}, journal={The Journal of Geometric Analysis}, year={2022}, volume={32}, pages={1-46} }
We study unboundedness properties of functions belonging to Lebesgue and Lorentz spaces with variable and mixed norms using growth envelopes. Our results extend the ones for the corresponding classical spaces in a natural way. In the case of spaces with mixed norms, it turns out that the unboundedness in the worst direction, i.e., in the direction where $$p_{i}$$ p i is the smallest, is crucial. More precisely, the growth envelope is given by $${\mathfrak {E}}_{{\mathsf {G}}}(L_{\overrightarrow…
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References
SHOWING 1-10 OF 61 REFERENCES
Behind the Tube: A History of Broadcasting Technology and Business
- Economics
- 1991
This work begins with the basic European 19th-century scientific discoveries and continues with the engineering advances, mainly in the United States, which led to the phenomenal growth of radio and…
Situated Task Analysis in Learner-Centered CALL
- Computer Science
- 2006
This chapter describes the modelling of learner interaction in computer-assisted language learning (CALL) environments and presents Learner-Centred Deisng (LCD) as a theoretical and practical alternative to traditional UCD practices.
Posttraumatic Stress Disorder and Physical Comorbidity Among Female Children and Adolescents: Results From Service-Use Data
- Psychology, MedicinePediatrics
- 2005
Overall, PTSD was associated with adverse health outcomes in both age strata, and the importance of PTSD diagnosis as a predictor of the ICD-9 categories of disease or chronic conditions seemed to increase with age.
The innate immune response to adenovirus vectors.
- BiologyHuman gene therapy
- 2004
Signal transduction via MAP kinases and NF-kappaB-mediated gene transcription are triggered during early virus-cell interactions and are key events in the innate recognition of adenovirus vector transduction.
Sharp sobolev embeddings and related hardy inequalities: The critical case: Embeddings and Inequalities
- Mathematics
- 1999
The paper deals with sharp embeddings of the Sobolev spaces Hsp(IRn) and the Besov spaces Bsp,p(IRn) into rearrangement—invariant spaces and related Hardy inequalities. Here 1 < p < ∞ and s = n/p.
The space L
- with mixed norm. Duke Math. J., 28(3):301–324
- 1961
Envelopes and Sharp Embeddings of Function Spaces
- Mathematics
- 2006
Preface DEFINITION, BASIC PROPERTIES, AND FIRST EXAMPLES Introduction Preliminaries, Classical Function Spaces Non-increasing rearrangements Lebesgue and Lorentz spaces Spaces of continuous functions…
Limiting embeddings
- entropy numbers and envelopes in function spaces. Habilitationsschrift, Friedrich-Schiller-Universität Jena, Germany
- 2002
Electrorheological Fluids: Modeling and Mathematical Theory
- Engineering
- 2000
Modeling of electrorheological fluids.- Mathematical framework.- Electrorheological fluids with shear dependent viscosities: Steady flows.- Electrorheological fluids with shear dependent viscosities:…