Scholarlink

<p>The aim of this paper is to study the fractional maximal commutators <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(M_{b,\alpha }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>M</mi> <mrow> <mi>b</mi> <mo>,</mo> <mi>α</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> and the commutators of the fractional maximal operator <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\([b, M_{\alpha }]\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">[</mo> <mi>b</mi> <mo>,</mo> <msub> <mi>M</mi> <mi>α</mi> </msub> <mo stretchy="false">]</mo> </mrow> </math></EquationSource> </InlineEquation> in the total Morrey spaces <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L^{p,\lambda ,\mu }(\mathbb {G})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mrow> <mi>p</mi> <mo>,</mo> <mi>λ</mi> <mo>,</mo> <mi>μ</mi> </mrow> </msup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="double-struck">G</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> on any stratified Lie group <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathbb {G}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">G</mi> </math></EquationSource> </InlineEquation> when <i>b</i> belongs to Lipschitz spaces <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\dot{\Lambda }_{\beta }(\mathbb {G})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo>˙</mo> </mover> <mi>β</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="double-struck">G</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. Some new characterizations for certain subclasses of Lipschitz spaces <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\dot{\Lambda }_{\beta }(\mathbb {G})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo>˙</mo> </mover> <mi>β</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="double-struck">G</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> are given.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Characterizations of Lipschitz functions via the commutators of fractional maximal function in total Morrey spaces on stratified Lie groups

  • 期刊论文

  • 发表日期：

    2025年12月29日

查看全文
  • Vagif S. Guliyev

摘要

The aim of this paper is to study the fractional maximal commutators \(M_{b,\alpha }\) M b , α and the commutators of the fractional maximal operator \([b, M_{\alpha }]\) [ b , M α ] in the total Morrey spaces \(L^{p,\lambda ,\mu }(\mathbb {G})\) L p , λ , μ ( G ) on any stratified Lie group \(\mathbb {G}\) G when b belongs to Lipschitz spaces \(\dot{\Lambda }_{\beta }(\mathbb {G})\) Λ ˙ β ( G ) . Some new characterizations for certain subclasses of Lipschitz spaces \(\dot{\Lambda }_{\beta }(\mathbb {G})\) Λ ˙ β ( G ) are given.