Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.014
{"title":"LOW SEPARATION AXIOMS ASSOCIATED WITH g^∗s-CLOSED SETS","authors":"","doi":"10.46753/pjaa.2022.v09i02.014","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.014","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41371607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.016
Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel
. In this paper, we have defined and studied woven K -frames in quaternionic Hilbert spaces. Also, we have studied conditions under which a woven frame( K -frame) form a woven K -frame. Further, we have studied conditions under which a bounded image of woven K -frame forms a woven K -frame. Finally, we prove a perturbation result for woven K -frames in quaternionic Hilbert spaces.
{"title":"WOVEN K-FRAMES IN QUATERNIONIC HILBERT SPACES","authors":"Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel","doi":"10.46753/pjaa.2022.v09i02.016","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.016","url":null,"abstract":". In this paper, we have defined and studied woven K -frames in quaternionic Hilbert spaces. Also, we have studied conditions under which a woven frame( K -frame) form a woven K -frame. Further, we have studied conditions under which a bounded image of woven K -frame forms a woven K -frame. Finally, we prove a perturbation result for woven K -frames in quaternionic Hilbert spaces.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43419026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-07DOI: 10.46753/pjaa.2022.v09i02.011
Pokou Nagacy, J. Feuto, B. A. Kpata
We establish some new properties of the Dunkl-Wiener amalgam spaces defined on the real line. These results allow us to obtain the boundedness of Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces.
{"title":"NORM INEQUALITIES FOR DUNKL-TYPE FRACTIONAL INTEGRAL AND FRACTIONAL MAXIMAL OPERATORS IN THE DUNKL-FOFANA SPACES","authors":"Pokou Nagacy, J. Feuto, B. A. Kpata","doi":"10.46753/pjaa.2022.v09i02.011","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.011","url":null,"abstract":"We establish some new properties of the Dunkl-Wiener amalgam spaces defined on the real line. These results allow us to obtain the boundedness of Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44615898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.009
{"title":"BIVARIATE λ- BERNSTEIN TYPE OPERATORS VIA (p,q)-CALCULUS","authors":"","doi":"10.46753/pjaa.2022.v09i01.009","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.009","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44827334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.012
{"title":"A NOTE ON OPERATOR VALUED FRAMES","authors":"","doi":"10.46753/pjaa.2022.v09i01.012","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.012","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48078956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.004
{"title":"b-Hσ-OPEN SETS IN HGTS","authors":"","doi":"10.46753/pjaa.2022.v09i01.004","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.004","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45336025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.001
Ahmad AL-OMARI
. In this paper, we use g -closure operator to define g -connected as a property which is weaker than τ ∗ -connectedness and stronger than τ -connectedness. We give some results regarding the union of g -connected. Also, we introduce and investigate the cut-point of g -connected.
{"title":"ON CONNECTED SPACES VIA GENERALIZED CLOSED SETS","authors":"Ahmad AL-OMARI","doi":"10.46753/pjaa.2022.v09i01.001","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.001","url":null,"abstract":". In this paper, we use g -closure operator to define g -connected as a property which is weaker than τ ∗ -connectedness and stronger than τ -connectedness. We give some results regarding the union of g -connected. Also, we introduce and investigate the cut-point of g -connected.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45108593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.006
D. Krishnaswamy, Ruchika Batra
. In this paper, we extend the concept of n-power hyponormal operators in Minkowski space, which is weaker than the case of normal operators. Furthermore, we give some basic properties of these operators.
{"title":"ON N-POWER HYPONORMAL OPERATORS IN MINKOWSKI SPACE","authors":"D. Krishnaswamy, Ruchika Batra","doi":"10.46753/pjaa.2022.v09i01.006","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.006","url":null,"abstract":". In this paper, we extend the concept of n-power hyponormal operators in Minkowski space, which is weaker than the case of normal operators. Furthermore, we give some basic properties of these operators.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42436024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.011
{"title":"θe*-OPEN SETS AND θe*-CONTINUITY OF MAPS IN THE PRODUCT SPACE","authors":"","doi":"10.46753/pjaa.2022.v09i01.011","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.011","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43945262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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