On the Sharp-Weighted Norm Estimate for the Commutator of Littlewood–Paley Operators
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-021-00603-w
Abstract: Using a classical Cauchy integral argument, we obtain sharp-weighted inequality for mth order commutator of a square function with $$b \in \text{ BMO }$$ . Also, the $$A_{p}-A_{\infty }$$ estimate for commutators of square functions… read more here.
Keywords: norm estimate; weighted norm; estimate commutator; commutator ... See more keywords
Weighted norm inequality for bilinear Calderón–Zygmund operators on Herz–Morrey spaces with variable exponents
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2202-8
Abstract: In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight in the variable Muckenhoupt class. read more here.
Keywords: weighted norm; bilinear calder; calder zygmund; zygmund operators ... See more keywords
Wavelets in weighted norm spaces
Sign Up to like & getrecommendations! Published in 2018 at "Tohoku Mathematical Journal"
DOI: 10.2748/tmj/1546570826
Abstract: We give a complete characterization of the classes of weight functions for which the Haar wavelet system for $m$-dilations, $m= 2,3,\ldots$ is an unconditional basis in $L^p(\mathbb{R},w)$. Particulary it follows that higher rank Haar wavelets… read more here.
Keywords: norm spaces; weighted norm; wavelets weighted;