Abstract
In these lecture notes, I intend to discuss the theory of Morrey Spaces, whose development recently has placed them solidly in the mainstream of modern Harmonic Analysis (HA), defined here by the works of Stein and Torchinsky; [St2] and [To]. This has been accomplished recently by the work [AX2 - 5] and the work of others as noted throughout these notes. These spaces were introduced by C. B. Morrey in 1938 [Mo] in his work on systems of second order elliptic partial differential equations (PDE) and together with the now well-studied Sobolev Spaces, constitute a formidable three parameter family of spaces useful for proving regularity results for solutions to various PDE, especially for non-linear elliptic systems.
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Adams, D.R. (2015). Introduction. In: Morrey Spaces. Applied and Numerical Harmonic Analysis(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-26681-7_1
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