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- W1902035168 abstract "Let $alphain(0,infty)$, $qin[1,infty]$, $s$ be a nonnegative integer, $omegain A_1(mathbb{R}^n)$ (the class of Muckenhoupt's weights). In this paper, the authors introduce the weighted Morrey-Campanato space $L(alpha,,q,,s,,omega;,mathbb{R}^n)$ and obtain its equivalence on different $qin[1,infty]$ and integers $sgelfloor nalpharfloor$ (the integer part of $nalpha$). The authors then introduce the weighted Lipschitz space $wedge(alpha,,omega;,mathbb{R}^n)$ and prove that $wedge(alpha,,omega;,mathbb{R}^n) =L(alpha,,q,,s,,omega;,mathbb{R}^n)$ when $alphain(0,infty)$, $sgelfloor nalpharfloor$ and $qin[1,infty]$. Using this, the authors further establish a new characterization of $L(alpha,,q,,s,,omega;,mathbb{R}^n)$ by using the convolution $ varphi_{t_{B}}ast f$ to replace the minimizing polynomial $P_{B}^{s}f$ on any ball $B$ of a function $f$ in its norm when $alphain(0,infty)$, $sgelfloor nalpharfloor$, $omegain A_1(mathbb{R}^n)cap RH_{1+1/alpha}(mathbb{R}^n)$ and $qin[1,infty]$, where $varphi$ is an appropriate Schwartz function, $t_{B}$ denotes the radius of the ball $B$ and $varphi_{t_{B}}(cdot) equiv t_{B}^{-n}varphi(t_{B}^{-1}cdot)$." @default.
- W1902035168 created "2016-06-24" @default.
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- W1902035168 date "2011-01-02" @default.
- W1902035168 modified "2023-09-24" @default.
- W1902035168 title "New Characterizations of Weighted Morrey-campanato Spaces" @default.
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- W1902035168 doi "https://doi.org/10.11650/tjm.15.2011.103" @default.
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