LAUSR

Special John-Nirenberg-Campanato spaces via congruent cubes

Sign Up to like & get
recommendations!
0 Published in 2021 at "Science China Mathematics"

DOI: 10.1007/s11425-021-1866-4

Abstract: Let p ∈ [1, ∞), q ∈ [1, ∞), α ∈ ℝ, and s be a non-negative integer. Inspired by the space JN p introduced by John and Nirenberg (1961) and the space $${\cal B}$$… read more here.

Keywords: congruent cubes; congruent; john nirenberg; via congruent ... See more keywords

Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes

Sign Up to like & get
recommendations!
0 Published in 2021 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-021-00626-w

Abstract: Abstract Let p ∈ [1,∞], q ∈ (1,∞), s ∈ Z+ := N∪{0}, and α ∈ R. In this article, the authors introduce a reasonable version T̃ of the Calderón–Zygmund operator T on JN (p,q,s)α… read more here.

Keywords: special john; congruent cubes; nirenberg campanato; john nirenberg ... See more keywords

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Sign Up to like & get
recommendations!
0 Published in 2019 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-019-2220-6

Abstract: Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′$X'$ by using the extrapolation. As an application… read more here.

Keywords: john nirenberg; nirenberg inequality; function spaces; ball banach ... See more keywords

A Survey on Function Spaces of John–Nirenberg Type

Sign Up to like & get
recommendations!
1 Published in 2021 at "Mathematics"

DOI: 10.3390/math9182264

Abstract: In this systematic review, the authors give a survey on the recent developments of both the John–Nirenberg space JNp and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, VJNp,… read more here.

Keywords: john nirenberg; spaces john; function spaces; survey ... See more keywords