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Notes on Embedding Theorems for Local Hardy spaces

✍ Scribed by Takahiro Mizuhara

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
490 KB
Volume
165
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this note we establish an embedding theorem (Theorem 2.4) for local Hardy spaces in the sense of GOLDBERG [G]. This result is a non‐homogeneous version of the theorem of BAERNSTEIN and SAWYER (Theorem BS). Also applying this theorem we establish embedding theorem and Fourier embedding theorem (Theorem 4.2, Theorem 4.3 and Corollary 4.4) for local Hardy spaces.

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