On The Paranormed Spaces of Regularly Convergent Double Sequences
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DOI: 10.1007/s00025-017-0693-5
Abstract: In Hardy (Proc Camb Philos 19:86–95, 1916), Hardy defined the normed spaces $$\mathcal {C}_{r}$$Cr and $$\mathcal {C}_{r0}$$Cr0 of all regularly convergent and regularly null double sequences and made convergence factor calculations (i.e. some beta-dual calculations).… read more here.
Keywords: regularly convergent; paranormed spaces; double sequences; spaces regularly ... See more keywords
The Second Cohomology Spaces $$ \mathcal{K} $$(2) with Coefficients in the Superspace of Weighted Densities
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DOI: 10.1007/s11253-021-01870-w
Abstract: Over the (1, 2)-dimensional supercircle, we investigate the second cohomology space associated with the Lie superalgebra $$ \mathcal{K} $$ (2) of vector fields on the supercircle S1|2 with coefficients in the space of weighted densities.… read more here.
Keywords: cohomology; weighted densities; mathcal coefficients; second cohomology ... See more keywords
Embedding of Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ into tent spaces and Volterra operators
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DOI: 10.4153/s0008439520000764
Abstract: Abstract In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators… read more here.
Keywords: dirichlet type; type spaces; spaces mathcal; tent spaces ... See more keywords