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- W1971051400 abstract "We prove that reasonable nice wavelets form unconditional bases in function space other than <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>2</mml:mi></mml:msup><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy=false>, </mml:mo><mml:mi>X</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>. Moreover, characterization of convergence of wavelets series in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy=false>, </mml:mo><mml:mi>X</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math> space and Hardy space <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo>,</mml:mo><mml:mi>X</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:mrow></mml:math> has been obtained. Here, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:math> is a Banach space with boundedness of Riesz transform." @default.
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- W1971051400 date "2014-02-06" @default.
- W1971051400 modified "2023-09-24" @default.
- W1971051400 title "Wavelets Convergence and Unconditional Bases for Lp(ℝn) and H1(ℝn)" @default.
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- W1971051400 doi "https://doi.org/10.1155/2014/984280" @default.
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