A two weight local Tb theorem for the Hilbert transform

We obtain a two weight local Tb theorem for any elliptic and gradient elliptic fractional singular integral operator T on the real line, and any pair of locally finite positive Borel measures on the line. This includes the Hilbert transform and in a sense improves on the T1 theorem by the authors and M. Lacey.Comment: 121 pages, 3 figures, 50 pages of appendices. We correct three gaps in the treatment of the stopping form in v12: the proof of Lemma 9.3 there requires a larger size functional, a collection of pairs is missing from the decomposition at the bottom of page 149, and an error was made in the definition of restricted norm of a stopping form. Main results unchange

Additional file 1: of Genomic prediction using DArT-Seq technology for yellowtail kingfish Seriola lalandi

Basic statistics of the sequence data used. Descriptive population genetic estimates and statistics of Single Nucleotide Polymorphisms (SNPs). (DOCX 27 kb

Additional file 1: of Can metamorphosis survival during larval development in spiny lobster Sagmariasus verreauxi be improved through quantitative genetic inheritance?

Table S1. Characterization of microsatellite loci (DOCX 16 kb

Additional file 3: of Can metamorphosis survival during larval development in spiny lobster Sagmariasus verreauxi be improved through quantitative genetic inheritance?

Figure S2. Variation in survival rates among breeding cohorts (DOCX 32 kb

Study flow chart.

Panel depicts participants agreeing to research selected from the electronic medical record. 62,279 PCR positive patients presented to the hospital systems, 6248 admitted to the hospital were analyzed for discharge disposition of PAC: Post-acute care, IRF: Inpatient rehabilitation unit, SNF: Skilled nursing home, LTACH: Long term care unit.</p

Discharge dispositions of SARS-CoV-2 and influenza inpatient populations.

Discharge dispositions of SARS-CoV-2 and influenza inpatient populations.</p

Analysis of discharge disposition based on symptom at presentation.

Analysis of discharge disposition based on symptom at presentation.</p

Descriptive Table of characteristics and demographics of COVID-19 inpatient based on variants.

Categorical variables expressed as count and percentage, and continuous variables as median and IQR.</p

New onset SARS-COV-2 symptoms on presentation by discharge disposition using Fisher’s exact test.

New onset SARS-COV-2 symptoms on presentation by discharge disposition using Fisher’s exact test.</p

Multinomial logistic regression of discharge dispositions i.e., post-acute care or died in hospital with the base outcome for comparison being home.

Multinomial logistic regression of discharge dispositions i.e., post-acute care or died in hospital with the base outcome for comparison being home.</p