Matrix Riemann–Hilbert problems with jumps across Carleson contours
Sign Up to like & getrecommendations! Published in 2018 at "Monatshefte Fur Mathematik"
DOI: 10.1007/s00605-017-1019-0
Abstract: We develop a theory of $$n \times n$$n×n-matrix Riemann–Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour $$\Gamma $$Γ is a finite union… read more here.
Keywords: riemann hilbert; matrix riemann; problems jumps; hilbert ... See more keywords
Conditional Carleson Measures and Related Operators on Bergman Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0180-0
Abstract: In this paper, first we define generalized Carleson measure. Then we consider a special case of it, named conditional Carleson measure on the Bergman spaces. After that, we give a characterization of conditional Carleson measures… read more here.
Keywords: bergman spaces; measures related; operators bergman; conditional carleson ... See more keywords
A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124248
Abstract: Abstract In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this… read more here.
Keywords: maximal functions; lemma weighted; carleson; generalization carleson ... See more keywords