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- W2899011632 abstract "Let<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi mathvariant=normal>Ω</mml:mi><mml:mo>∈</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=normal>S</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:mrow></mml:msup><mml:mo stretchy=false>)</mml:mo></mml:math>for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>s</mml:mi><mml:mo>⩾</mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:math>be a homogeneous function of degree zero and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:math>be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msubsup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>Ω</mml:mi></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>and its higher-order commutator<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mo stretchy=false>[</mml:mo><mml:msup><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>Ω</mml:mi></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy=false>]</mml:mo></mml:math>on Herz spaces with variable exponent." @default.
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- W2899011632 date "2018-11-01" @default.
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- W2899011632 title "Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent" @default.
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