Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces Article Swipe
Related Concepts
Mathematics
Lp space
Bilinear interpolation
Lebesgue integration
Smoothing
Multiplier (economics)
Pure mathematics
Type (biology)
Singular integral operators of convolution type
Microlocal analysis
Operator theory
Fourier integral operator
Banach space
Macroeconomics
Ecology
Biology
Statistics
Economics
Jarod Hart
,
Rodolfo H. Torres
,
Xinfeng Wu
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1090/tran/7312
· OA: W2603384601
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1090/tran/7312
· OA: W2603384601
We prove that bilinear fractional integral operators and similar multipliers are smoothing in the sense that they improve the regularity of functions. We also treat bilinear singular multiplier operators which preserve regularity and obtain several Leibniz-type rules in the context of Lebesgue and mixed Lebesgue spaces.
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