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Article detail · 2013

Marcinkiewicz Integrals with Rough Kernel Associated with Schrodinger Operator on Vanishing Generalized Morrey Spaces (pp.40-54)

Journal

Azerbaijan Journal of Mathematics
OpenAlex SJR Q3 Citations 10 Percentile 85.0% FWCI 1.9
Year
2013
Type
article

Data source split

  • YÖKSİS venue Azerbaijan Journal of Mathematics
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

Let L=-Δ+V be a Schrodinger operator, where Δ is the Laplacian on R n , while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the boundedness of the Marcinkiewicz operator with rough kernel associated with Schrodinger operator μ L j,Ω on vanishing generalized Morrey spaces VM p, φ (R n ). We find the sufficient conditions on the pair ( φ 1 , φ 2 ) which ensures the boundedness of the operators μ L φ,Ω from one vanishing generalized Morrey space VM p, φ 1 (R n ) to another VM p, φ 2 (R n ), 1<p< ∞ and from the space VM 1, φ 1 (R n ) to the weak space WVM 1, φ 2 (R n ).

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

10 citations

OpenAlex cited_by_count (cache / database)

10 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces 2017 Citations 14 · OpenAlex
  2. Generalized Weighted Morrey Estimates for Marcinkiewicz Integrals with Rough Kernel Associated with Schrödinger Operator and Their Commutators 2020 Citations 12 · OpenAlex
  3. FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES 2018 Citations 5 · OpenAlex
  4. Commutators of Marcinkiewicz integrals associated with Schrödinger operator on generalized weighted Morrey spaces 2016 Citations 5 · OpenAlex
  5. Commutators of Marcinkiewicz integrals associated with Schrödinger operator on generalized weighted Morrey spaces 2016 Citations 5 · OpenAlex
  6. Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces 2018 Citations 2 · OpenAlex
  7. Sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces 2016 Citations 2 · OpenAlex
  8. Vanishing generalized Morrey spaces and commutators of Marcinkiewicz integrals with rough kernel associated with Schrödinger operator 2016 Citations 1 · OpenAlex
  9. GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHR&#214;DINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS 2018 Citations 0 · OpenAlex
  10. BMO estimates on vanishing generalized Morrey spaces for commutators of Marcinkiewicz integrals with rough kernel associated with schr\"odinger operator 2016 Citations 0 · OpenAlex

Authors

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