Weighted Lebesgue and $$BMO^\gamma $$BMOγ norm inequalities for the Calderón and Hilbert operators
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02298-6
Abstract: Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results on the boundedness… read more here.
Keywords: calder hilbert; lebesgue bmo; weighted lebesgue; hilbert operators ... See more keywords
On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Analysis Mathematica"
DOI: 10.1007/s10476-020-0053-7
Abstract: This paper is devoted to studying the boundedness and compactness of commutators for Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces. The characterized theorems on the boundedness and compactness for such commutators are established,… read more here.
Keywords: kernels weighted; weighted lebesgue; marcinkiewicz integrals; integrals rough ... See more keywords
A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-018-00322-1
Abstract: In this paper, we give a new inequality for weighted Lebesgue spaces called Bohr-Nikol’skii inequality, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics. read more here.
Keywords: inequality; weighted lebesgue; inequality weighted; nikol skii ... See more keywords
On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces
Sign Up to like & getrecommendations! Published in 2021 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-021-00128-8
Abstract: We study embeddings of Morrey type spaces $${\varvec{M}}^{p,q,\omega } ({\mathbb {R}}^n ) $$ , $$1 \leqslant pp $$ we show that the embedding, in general, cannot hold with $$ \omega =w $$ . For global… read more here.
Keywords: stummel spaces; embeddings morrey; weighted lebesgue; type spaces ... See more keywords
Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces
Sign Up to like & getrecommendations! Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1702-10
Abstract: where Γβ(x) = {(y, t) ∈ R + : |x− y| < βt}. Denote Gα,1(f) = Gα(f) . The intrinsic square functions were first introduced by Wilson in order to answer a conjecture proposed by… read more here.
Keywords: square functions; weighted lebesgue; intrinsic square; compactness commutators ... See more keywords