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A T1 theorem and Calderón–Zygmund operators in Campanato spaces on domains

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1 Published in 2019 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201700488

Abstract: Given a Lipschitz domain D⊂Rd , a Calderón–Zygmund operator T and a modulus of continuity ω(x) , we solve the problem when the truncated operator TDf=T(fχD)χD sends the Campanato space Cω(D) into itself. The solution… read more here.

Keywords: theorem calder; calder; calder zygmund; zygmund operators ... See more keywords

An Endpoint Weak-Type Estimate for Multilinear Calderón–Zygmund Operators

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1 Published in 2019 at "Journal of Fourier Analysis and Applications"

DOI: 10.1007/s00041-019-09676-y

Abstract: The purpose of this article is to provide an alternative proof of the weak-type $$\left( 1,\ldots ,1;\frac{1}{m}\right) $$1,…,1;1m estimate for m-multilinear Calderón–Zygmund operators on $${\mathbb {R}}^n$$Rn first proved by Grafakos and Torres. Subsequent proofs in… read more here.

Keywords: weak type; calder zygmund; zygmund operators; estimate ... See more keywords

Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications

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0 Published in 2021 at "Applicable Analysis"

DOI: 10.1080/00036811.2021.1952995

Abstract: In this paper, we give the definition of local variable MorreyLorentz spaces Mloc p(·),q(·),λ(R n) which are a new class of functions. Also, we prove the boundedness of the Hardy-Littlewood maximal operator M and Calderón-Zygmund… read more here.

Keywords: calder zygmund; zygmund operators; local variable; calder ... See more keywords

Weighted norm inequality for bilinear Calderón–Zygmund operators on Herz–Morrey spaces with variable exponents

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0 Published in 2019 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-019-2202-8

Abstract: In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight in the variable Muckenhoupt class. read more here.

Keywords: weighted norm; bilinear calder; calder zygmund; zygmund operators ... See more keywords

Calderón-Zygmund operators on Lipschitz spaces over RD spaces

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0 Published in 2020 at "Quaestiones Mathematicae"

DOI: 10.2989/16073606.2019.1709579

Abstract: Abstract. Suppose that (X, d, µ) is a metric measure space of homogeneous type in the sense of Coifman and Weiss with a reverse doubling condition. By establishing the Littlewood-Paley characterization of Lipschitz spaces, a… read more here.

Keywords: zygmund; calder zygmund; zygmund operators; lipschitz spaces ... See more keywords