Let 𝜑 : ℝ<sup>n</sup> × [0, ∞) → [0, ∞) be a growth function and H<sup>𝜑</sup>(ℝ<sup>n</sup>) the Musielak-Orlicz Hardy space defined via the non-tangential ...
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https://www.riss.kr/link?id=A108753754
Jun Liu (China University of Mining and Technology) ; Haonan Xia (China University of Mining and Technology)
2023
English
SCIE,SCOPUS,KCI등재
학술저널
1057-1072(16쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Let 𝜑 : ℝ<sup>n</sup> × [0, ∞) → [0, ∞) be a growth function and H<sup>𝜑</sup>(ℝ<sup>n</sup>) the Musielak-Orlicz Hardy space defined via the non-tangential ...
Let 𝜑 : ℝ<sup>n</sup> × [0, ∞) → [0, ∞) be a growth function and H<sup>𝜑</sup>(ℝ<sup>n</sup>) the Musielak-Orlicz Hardy space defined via the non-tangential grand maximal function. A general summability method, the so-called 𝜃-summability is considered for multi-dimensional Fourier transforms in H<sup>𝜑</sup>(ℝ<sup>n</sup>). Precisely, with some assumptions on 𝜃, the authors first prove that the maximal operator of the 𝜃-means is bounded from H<sup>𝜑</sup>(ℝ<sup>n</sup>) to L<sup>𝜑</sup>(ℝ<sup>n</sup>). As consequences, some norm and almost everywhere convergence results of the 𝜃-means, which generalizes the well-known Lebesgue's theorem, are then obtained. Finally, the corresponding conclusions of some specific summability methods, such as Bochner-Riesz, Weierstrass and Picard-Bessel summations, are also presented.
ON NON-DISPLACEABLE LAGRANGIAN SUBMANIFOLDS IN TWO-STEP FLAG VARIETIES
INFINITE FAMILIES OF CONGRUENCES MODULO 2 FOR 2-CORE AND 13-CORE PARTITIONS
THE FIRST POSITIVE AND NEGATIVE DIRAC EIGENVALUES ON SASAKIAN MANIFOLDS
FORBIDDEN THETA GRAPH, BOUNDED SPECTRAL RADIUS AND SIZE OF NON-BIPARTITE GRAPHS