Leibniz’s Rule, Sampling and Wavelets on Mixed Lebesgue Spaces

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-015-9397-y ◽

2015 ◽

Vol 21 (5) ◽

pp. 1053-1076 ◽

Author(s):

Rodolfo H. Torres ◽

Erika L. Ward

Keyword(s):

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces

Transactions of the American Mathematical Society ◽

10.1090/tran/7312 ◽

2018 ◽

Vol 370 (12) ◽

pp. 8581-8612 ◽

Author(s):

Jarod Hart ◽

Rodolfo H. Torres ◽

Xinfeng Wu

Keyword(s):

Lebesgue Spaces ◽

Bilinear Operators ◽

Mixed Lebesgue Spaces

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Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces Lp,q(R×Rd)

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113237 ◽

2021 ◽

Vol 386 ◽

pp. 113237

Author(s):

Yingchun Jiang ◽

Wan Li

Keyword(s):

Random Sampling ◽

Invariant Subspaces ◽

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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Average sampling and reconstruction of reproducing kernel signals in mixed Lebesgue spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.07.060 ◽

2019 ◽

Vol 480 (1) ◽

pp. 123370 ◽

Author(s):

Yingchun Jiang

Keyword(s):

Reproducing Kernel ◽

Lebesgue Spaces ◽

Average Sampling ◽

Sampling And Reconstruction ◽

Mixed Lebesgue Spaces

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A sampling theory for non-decaying signals in mixed Lebesgue spaces

Applicable Analysis ◽

10.1080/00036811.2020.1736286 ◽

2020 ◽

pp. 1-19

Author(s):

Yang Han ◽

Bei Liu ◽

Qingyue Zhang

Keyword(s):

Sampling Theory ◽

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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The Lp,q-stability of the Shifts of Finitely Many Functions in Mixed Lebesgue Spaces Lp,q(ℝd+1)

Acta Mathematica Sinica English Series ◽

10.1007/s10114-018-7333-1 ◽

2018 ◽

Vol 34 (6) ◽

pp. 1001-1014 ◽

Author(s):

Rui Li ◽

Bei Liu ◽

Rui Liu ◽

Qing Yue Zhang

Keyword(s):

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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Sampling theorem on shift invariant subspaces in mixed Lebesgue spaces

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1578094 ◽

2019 ◽

Vol 22 (2) ◽

pp. 121-128

Author(s):

Qingyue Zhang

Keyword(s):

Invariant Subspaces ◽

Sampling Theorem ◽

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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Lipschitz spaces and mixed Lebesgue spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1982-0652445-1 ◽

1982 ◽

Vol 85 (2) ◽

pp. 213-213

Author(s):

W. R. Madych

Keyword(s):

Lebesgue Spaces ◽

Lipschitz Spaces ◽

Mixed Lebesgue Spaces

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CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS

Journal of the London Mathematical Society ◽

10.1112/s0024610704005502 ◽

2004 ◽

Vol 70 (02) ◽

pp. 447-462 ◽

Author(s):

ATANAS STEFANOV ◽

RODOLFO H. TORRES

Keyword(s):

Lebesgue Spaces ◽

Mixed Lebesgue Spaces

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Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-019-00315-0 ◽

2019 ◽

Vol 11 (2) ◽

pp. 843-868

Author(s):

Anuj Kumar ◽

Dhiraj Patel ◽

Sivananthan Sampath

Keyword(s):

Reproducing Kernel ◽

Lebesgue Spaces ◽

Sampling And Reconstruction ◽

Mixed Lebesgue Spaces

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Average sampling and reconstruction for signals in shift‐invariant subspaces of weighted mixed Lebesgue spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7374 ◽

2021 ◽

Author(s):

Suping Wang ◽

Jiaxing Zhang

Keyword(s):

Invariant Subspaces ◽

Lebesgue Spaces ◽

Average Sampling ◽

Sampling And Reconstruction ◽

Mixed Lebesgue Spaces

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