Weighted Morrey spaces and a singular integral operator

By Y. Komori, S. Shirai. 2009

341 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/deecde8fde723b11ce2806a174a9b235d8b3b4c2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Weighted norm inequalities for multilinear fractional operators on Morrey spaces (2011, background): “To the best of our knowledge, Komori and Shirai [9] were the first to attempt extending the equivalence between (2.”
Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces (2018, background): “For more results on the boundedness of operators on Morrey spaces, we refer the reader to [2, 23, 24, 1, 15].”
The singular integral operator and its commutator on weighted Morrey spaces (2016, background): “he quasi-norm kfkM p q(w1,w2) := sup Q∈Q w1(Q) 1−1 q Z |f(x)|qdw2(x) 1 q is ﬁnite. When w1 = w2 = w, Mp q(w1,w2) corresponds to the weighted Morrey space Mpq(w,w) introduced by Komori and Shirai in [23]. Meanwhile, when w1 = dx and w2 = w, Mp q(w1,w2) corresponds to the weighted Morrey space Mp q(dx”
Morrey-Campanato Spaces: an Overview (2013, background): “Shirai [60] (2009) considered the generalized Morrey spaces L(w), defined by the norm”
Generalized weighted Morrey spaces and classical operators (2016, methodology): “In [15], Komori and Shirai defined another type of weighted Morrey space L p,κ(ω) for 1 ≤ p < ∞ and 0 < κ < 1, with the norm:”
Intrinsic square functions on the weighted Morrey spaces (2011, background): “[11] Y. Komori and S. Shirai, Weighted Morrey spaces and a singular integral operator, Math.”
Calderón–Zygmund operators in Morrey spaces (2014, neutral): “We refer in particular to [8,10,11,13–15,17,19,20,28,30–32,36].”