지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In \cite{Be}, Beznosova proved that the bound on the norm of the dyadic paraproduct with $b\in \BMO$ in the weighted Lebesgue space $L^2(w)$ depends linearly on the $A_2^d$ characteristic of the weight $w$ and extrapolated the result to the $L^p(w)$ case. In this paper, we provide the weighted norm estimates of the dyadic paraproduct $\pi_b$ with $b\in \VMO$ and reduce the dependence of the $A_2^d$ characteristic to $1/2$ by using the property that for $b\in \VMO$ its mean oscillations are vanishing in certain cases. Using this result we also reduce the quadratic bound for the commutators of the Calder\'{o}n-Zygmund operator $[b,T]$ to $3/2$.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
NOTES ON SAWYER TYPE ESTIMATES FOR THE DYADIC PARAPRODUCT
East Asian Mathematical Journal
2023 .05
-
A Note on Two Weight Inequalities for the Dyadic Paraproduct
East Asian Mathematical Journal
2020 .01
-
Two Weight Estimate for the Paraproduct in the Space of Homogeneous Type
East Asian Mathematical Journal
2019 .01
-
On a class of generalized triangular norms
대한수학회논문집
2017 .01
-
On weighted and pseudo-weighted spectra of bounded operators
대한수학회논문집
2018 .01
-
On the closed range composition and weighted composition operators
대한수학회논문집
2020 .01
-
Gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients
대한수학회지
2020 .01
-
A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
대한수학회보
2015 .01
-
Weighted vector-valued bounds for a class of multilinear singular integral operators and applications
대한수학회지
2018 .01
-
Essential norms of integral operators
대한수학회지
2019 .01
-
Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces
대한수학회논문집
2018 .01
-
Geographically weighted least squares-support vector machine
한국데이터정보과학회지
2017 .01
-
$k^{th}$-order essentially slant weighted Toeplitz operators
대한수학회논문집
2019 .01
-
Weighted estimates for certain rough operators with applications to vector valued inequalities
대한수학회지
2021 .01
-
On multiplier weighted-space of sequences
대한수학회논문집
2020 .01
-
Essential norm of the composition operators between Bergman spaces of logarithmic weights
대한수학회보
2017 .01
-
Subnormality and Weighted Composition Operators on L^2 Spaces
Kyungpook Mathematical Journal
2015 .01
-
A note on the properties of pseudo-weighted Browder spectrum
대한수학회보
2023 .01
-
Equivalent norms in a Banach function space and the subsequence property
대한수학회지
2019 .01
-
Study of Apparent Diffusion Coefficient Changes According to Spinal Disease in MR Diffusion-weighted Image
Journal of Magnetics
2017 .03
이 논문의 저자 정보
최근 본 자료
댓글(0)
0