Unconditional basic sequence in $L^p(\mu )$ and its $l^p$-stability

DOI10.1090/S0002-9939-99-04638-9zbMath0909.46006OpenAlexW1608567257MaRDI QIDQ4219141

Lihua Yang

Publication date: 18 November 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04638-9

zbMATH Keywords

wavelet analysisunconditional basic sequence\(\ell^p\)-stabilityshift-invariant basic sequences

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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A Bernstein type inequality associated with wavelet bi-frame decomposition ⋮ Random series in $L^p(X,\Sigma,\mu)$ using unconditional basic sequences and $l^p$ stable sequences: A result on almost sure almost everywhere convergence

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