P–ADIC WEAK CENTRAL MORREY SPACES ON DIFFERENTIAL FORMS

Jianwei Wang; Linlin Wang; Yuming Xing

doi:10.7153/jmi-2022-16-06

P–ADIC WEAK CENTRAL MORREY SPACES ON DIFFERENTIAL FORMS

Jianwei Wang
, Linlin Wang
, Yuming Xing^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, the theory of differential forms on Rn was extended to the filed Qⁿ_p of p-adic numbers. The imbedding inequalities for differential forms were derived on Qⁿ_p. Then, we show the definitions of p-aidc weak central Morrey spaces and p-adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space.

Original language	English
Pages (from-to)	69-82
Number of pages	14
Journal	Journal of Mathematical Inequalities
Volume	16
Issue number	1
DOIs	https://doi.org/10.7153/jmi-2022-16-06
State	Published - 2022
Externally published	Yes

Keywords

Differential forms
Fractional p-adic hardy operator
Imbedding inequalities
P-adic weak centralmorrey spaces

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Cite this

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abstract = "In this article, the theory of differential forms on Rn was extended to the filed Qnp of p-adic numbers. The imbedding inequalities for differential forms were derived on Qnp. Then, we show the definitions of p-aidc weak central Morrey spaces and p-adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space.",

keywords = "Differential forms, Fractional p-adic hardy operator, Imbedding inequalities, P-adic weak centralmorrey spaces",

author = "Jianwei Wang and Linlin Wang and Yuming Xing",

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N2 - In this article, the theory of differential forms on Rn was extended to the filed Qnp of p-adic numbers. The imbedding inequalities for differential forms were derived on Qnp. Then, we show the definitions of p-aidc weak central Morrey spaces and p-adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space.

AB - In this article, the theory of differential forms on Rn was extended to the filed Qnp of p-adic numbers. The imbedding inequalities for differential forms were derived on Qnp. Then, we show the definitions of p-aidc weak central Morrey spaces and p-adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space.

KW - Differential forms

KW - Fractional p-adic hardy operator

KW - Imbedding inequalities

KW - P-adic weak centralmorrey spaces

UR - https://www.scopus.com/pages/publications/85129384538

U2 - 10.7153/jmi-2022-16-06

DO - 10.7153/jmi-2022-16-06

M3 - 文章

AN - SCOPUS:85129384538

SN - 1846-579X

VL - 16

SP - 69

EP - 82

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 1

ER -

P–ADIC WEAK CENTRAL MORREY SPACES ON DIFFERENTIAL FORMS

Abstract

Keywords

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