Abstract
The use of the word “mock” here is essentially in tribute to Ramanujan’s use of the word when he refers to his “mock theta functions” - they have a close resemblance to the original (imitations), but are not quite the same. This is the case with the spaces of this chapter, and the term is to draw attention to this close resemblance. Actually, these spaces can also be described by the term “Marcinkiewicz Spaces,” but in so doing, the underlying connection with Morrey’s original tends to be lost.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Traces of Potentials II, Ind, U. Math. J. 22(1973), 907–918.
Besov capacity redux, Problems in Math. Analy. Vol. 42 (Russian); J. Math. Sci., Springer Vol 162 (2009) (English).
On F. Pacard’s regularity for -\(\Delta u = u^{p}\), EJDE 125(2012).
, Hedberg, L. I., Function spaces and potential theory, Gundlehren. #314, Springer, 1996.
Conti, F., Su alcuni spazi funzionali e loro applicazioni ad equazioni differenziali di tipo elliptico, Bull. Un. Mat. Ital. 4(1969), 554–569.
Ding, Y., A characterization of BMO via commutators for some operators, Northeast. Math. J. 13(1997), 422–424.
Maźya, V. G., Shaposhnikova, T., Theory of multipliers in spaces of differentiable functions, Pitman Press 1985.
,, Theory of Sobolev multipliers: with applications to differential and integral operators, 337 Grundlehren, Springer 2009.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Adams, D.R. (2015). Mock Morrey Spaces. In: Morrey Spaces. Applied and Numerical Harmonic Analysis(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-26681-7_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-26681-7_13
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-26679-4
Online ISBN: 978-3-319-26681-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)